Description : what- Complete the Angle-Angle-Side Congruence Theorem.If two angles and a non-included side of one triangle are congruent to two angles and a (1) _____ non-included side of another triangle, then the triangles are (2)?
Last Answer : (1) corresponding, (2) congruent
Description : what- Complete the Angle-Side-Angle Congruence Postulate. The same words go in each blank.If _____ and the included side of one triangle are congruent to _____ and the included side of another triangle, then the triangles are congruent?
Last Answer : two angles
Description : What are the 4 congruence for congruent triangles ? -Maths 9th
Last Answer : The four congruence are : 1. SSS congruence ( side-side-side). 2. SAS congruence (side-angle-side). 3. ASA congruence (angle-side-angle). 4. RHS congruence (Right-Hypotenuse-Side)
Description : ‘If two sides and an angle of one triangle are equal to two sides and an angle of another triangle , then the two triangles must be congruent’. -Maths 9th
Last Answer : No, because in the congruent rule, the two sides and the included angle of one triangle are equal to the two sides and the included angle of the other triangle i.e., SAS rule.
Description : Is this statement true or falseIf two sides and one angle of one triangle are congruent to two sides and one angle of another triangle, then the triangles are congruent by the Side-Angle-Side Postulate?
Last Answer : Answers is the place to go to get the answers you need and to ask the questions you want
Description : The hypotenuse of an isosceles right-angled triangle is q. If we describe equilateral triangles (outwards) on all its three sides, -Maths 9th
Last Answer : (b) \(rac{q^2}{4}\) (2√3 + 1).AC = q, ∠ABC = 90º ⇒ q = \(\sqrt{AB^2+BC^2}\)⇒ q = \(\sqrt{2x^2}\)⇒ q2 = 2x2 ⇒ \(x\) = \(rac{q}{\sqrt2}\)∴ Area of the re-entrant hexagon = Sum of areas of (ΔABC + ΔADC ... (rac{\sqrt3}{4}\)q2 + \(rac{\sqrt3}{8}\)q2 + \(rac{\sqrt3q^2}{8}\) = \(rac{q^2}{4}\) (2√3 + 1).
Description : A right triangle has one side that is 7 cm longer than its shortest side. The triangle’s hypotenuse is 8 cm longer than the shortest side. What are the dimensions of the triangle?
Last Answer : extra 6 dimensions of 10 dimensional spacetime
Description : Is this statement true or falseTo prove triangles similar using the Side-Side-Side Similarity Theorem, you must first prove that corresponding angles are congruent?
Description : If a right triangle has a hypotenuse of 12 cm and one leg that measures 9 cm find the length of the other leg.?
Last Answer : Using Pythagoras' theorem for a right angle triangle the otherleg is 3 times the square root of 7
Description : Prove that if in two triangles,two angles and the included side of one triangle are equal to two angles and the included side of the other triangle,then two triangles are congruent. -Maths 9th
Last Answer : Solution :-
Description : what- the image of a triangle after a translation is shown. fill in the blank with a congruence postulate. use SSS?
Last Answer : SSS
Description : There are two congruent triangles each with area 198 cm^2. Triangle DEF is placed over triangle ABC in such a way that the centroid of -Maths 9th
Last Answer : answer:
Description : What median of an isosceles triangle is the same segment in the triangle as the leg bisector hypotenuse altitude?
Last Answer : It is the median which divides the side which is not one of theequal sides.
Description : If AB = PQ, BC = QR and AC = PR, then write the congruence relation between the triangles. [Fig. 7.6] -Maths 9th
Last Answer : Solution :- △ ABC ≅ △PQR
Description : what- Fill in the blank in the statement below._____ Congruence is used in triangulation?
Last Answer : angle- side angle
Description : ABC and ADC are two right triangles with common hypotenuse AC. Prove that angle CAD = angle CAB -Maths 9th
Last Answer : Given, AC is the common hypotenuse. ∠B = ∠D = 90°. To prove, ∠CAD = ∠CBD Proof: Since, ∠ABC and ∠ADC are 90°. These angles are in the semi circle. Thus, both the triangles are lying in the semi ... D are concyclic. Thus, CD is the chord. ⇒ ∠CAD = ∠CBD (Angles in the same segment of the circle)
Description : On a common hypotenuse AB, two right angled triangles, ACB and ADB are situated on opposite sides. -Maths 9th
Last Answer : According to question ∠BAC = ∠BDC.
Description : Show that the relation ‘≅’ congruence on the set of all triangles in Euclidean plane geometry is an equivalence relation. -Maths 9th
Last Answer : Reflexive : A ≅ A True Symmetric : if A ≅ B then B ≅ A True Transitive : if A ≅ B and B ≅ C, then A ≅ C True Therefore, the relation ‘≅’ is an equivalence relation.
Description : What is the type of congruence between the triangles shown?
Last Answer : side- angle- side
Description : Which is the correct congruence statement for the triangles shown?
Last Answer : edr
Description : The perimeter of a right triangle is 30 cm. If its hypotenuse is 13 cm, then what are two sides? -Maths 9th
Last Answer : The other two sides of the triangle are 12 cm and 5 cm Explanation: Let the other two sides of triangle be x and y It's hypotenuse is 13 cm Perimeter of triangle = Sum of all sides ... When y = 12 x=17-y = 17-12 =5 So, the other two sides of the triangle are 12 cm and 5 cm
Description : If the length of hypotenuse of a right angled triangle is 5 cm and its area is 6 sq cm, then what are the lengths of the remaining sides? -Maths 9th
Last Answer : Let one of the remaining sides be x cm.Then, other side = \(\sqrt{5^2-x^2}\) cm∴ Area = \(rac{1}{2} imes{x} imes\sqrt{25-x^2}\) = 6⇒ \(x\sqrt{25-x^2}\) = 12 ⇒ x2(25 - x2) = 144⇒ 25x2 - x4 = 144 ⇒ x4 - 25x2 ... (x2 - 16) (x2 - 9) = 0 ⇒ x2 = 16 or x2 = 9 ⇒ x = 4 or 3∴ The two sides are 4 cm and 3 cm.
Description : Let a, b, c be the lengths of the sides of a right angled triangle, the hypotenuse having the length c, then a + b is -Maths 9th
Description : Let ABC be a right angled triangle with AC as its hypotenuse. Then, -Maths 9th
Description : If a right triangle has legs of length 6 and 8 then we know the length of the hypotenuse is the square root of 6 plus 8 which equals 10?
Last Answer : Using Pythagoras theorem: 6^2 + 8^2 = 100 and its square root is10 which is the length of the hypotenuse
Description : which congruence postulate or theorem would you use to prove MEX?
Last Answer : HL congruence theorem
Description : what- If you are given or can prove that two triangles are congruent, then you may use CPCTC to prove that the angles or sides are?
Last Answer : congruent
Description : Fill in the blanks: If I had _____ I would _____.
Last Answer : If I had a burrito I would suck it down like no tomorrow.
Description : Fill in the blanks- _____and _____ densities should be found out, in order to get a better insight into the human-land ratio. -Geography
Last Answer : (c) Physiological and Agricultural
Description : Fill in the blanks with the suitable words____filaments are thinner as compared to the _____ filaments, hence are commonly called ______ and filaments
Last Answer : Fill in the blanks with the suitable words____filaments are thinner as compared to the ... are commonly called ______ and filaments respectively.
Description : Fill in the blanks with the appropriate option. The days of fun and _____ were gone for good. (a) Entertainment (b) Frolic (c) Hope (d) Distrust
Last Answer : Ans: b) Frolic
Description : Answer the following S. No Statement Chose the correct answer OR Fill-in-the-blanks 1 Fyrite measures CO2, O2 and SO2 True/False 2 Ultrasonic Flow Meter uses the principle of____& ____ Fill in the ... of RPM meter is used and for a visible shaft-end _______ type of RPM meter is used.
Last Answer : Sr No Statement Chose the correct answer OR Fill-in-the-blanks Solution 1 Fyrite measures CO2, O2 and SO2 True/False False 2 Ultrasonic Flow Meter uses the principle of____& ____ ... ] 10 In a gasification system the reduction zone is above the combustion zone True/False False
Description : If two angles in a triangle are congruent to two angles in another triangle then the angles are also congruent.?
Last Answer : If two angles in a triangle are congruent to two angles inanother triangle, then the ______________ angles are alsocongruent.
Description : what- Fill in blank 1 and blank 2 to explain why Angle-Side-Angle Congruence helps imply Angle-Angle-Side Congruence?
Last Answer : If two pairs of angles and a pair of corresponding non-included sides of two triangles are congruent, then by the Third Angle Theorem, the (1)_______ is also congruent. Therefore, the side ... (2)________ between two congruent angles. So, by Angle-Side-Angle Congruence, the triangles are congruent.
Description : Is it possible for a right angled triangle with sides 3 and 4 units long to have a hypotenuse 6 units in length?
Last Answer : answer:I'm not quite getting you. It isn't actually a triangle when the hypotenuse has these indentations, right? The hypotenuse isn't a straight line as you describe it. If the other sides are 3 ... and 5.00001, you don't have a straight line. Unless I'm misunderstanding what you're suggesting.
Description : ABC is a triangle right angled at C. A line through the mid-point M of hypotenuse AB and parallel to BC intersects AC at D. Show that (i) D is the mid-point of AC (ii) MD ⊥ AC (iii) CM = MA = ½ AB -Maths 9th
Last Answer : Solution: (i) In ΔACB, M is the midpoint of AB and MD || BC , D is the midpoint of AC (Converse of mid point theorem) (ii) ∠ACB = ∠ADM (Corresponding angles) also, ∠ACB = 90° , ∠ADM = 90° and MD ⊥ AC (iii ... SAS congruency] AM = CM [CPCT] also, AM = ½ AB (M is midpoint of AB) Hence, CM = MA = ½ AB
Description : In a right angle triangle, prove that the hypotenuse is the longest side. -Maths 9th
Last Answer : The sum of angles of a triangle is180° If one aangke is of 90° then the sum of two angles is 90° It means that the angle forming 90° is biggest angle We know , Angle opposite to the longest side is largest. It means hypotenuse is the biggest side of right angled triangle
Description : ABC is a triangle right-angled at C. A line through the mid-point M of hypotenuse AB parallel to BC intersects AC ad D. -Maths 9th
Last Answer : Given: A △ABC , right - angled at C. A line through the mid - point M of hypotenuse AB parallel to BC intersects AC at D. To Prove: (i) D is the mid - point of AC (ii) MD | AC (iii) CM = MA = 1 / 2 ... congruence axiom] ⇒ AM = CM Also, M is the mid - point of AB [given] ⇒ CM = MA = 1 / 2 = AB.
Description : A right triangle when one side is 3.5 cm and sum of other sides and the hypotenuse is 5.5 cm. -Maths 9th
Last Answer : Let given right triangle be ABC. Then, given BC = 3.5 cm, ∠B = 90° and sum of other side and hypotenuse i.e., AB + AC = 5.5 cm To construct ΔABC use the following steps 1.Draw the base BC = 3.5 cm 2.Make ... AB = BD - AD = BD - AC [from Eq. (i)] => BD = AB + AC Thus, our construction is justified.
Description : An isosceles right triangle has area 8 cm2. The length of its hypotenuse is -Maths 9th
Last Answer : (a) Given, area of an isosceles right triangle = 8 cm2 Area of an isosceles triangle = 1/2 (Base x Height) ⇒ 8 = 1/2 (Base x Base) [∴ base = height, as triangle is an ... √32 cm [taking positive square root because length is always positive] Hence, the length of its hypotenuse is √32 cm.
Last Answer : This answer was deleted by our moderators...
Description : ABC is a triangle right-angled at C. A line through the mid-point of hypotenuse AB and parallel to BC intersects AC at D. Show that -Maths 9th
Description : Construct a right triangle whose base is 12 cm and sum of its hypotenuse and other side is 18 cm. -Maths 9th
Last Answer : Steps of Construction (i) Draw BC = 12 cm. (ii) Construct ÐCBY = 90°. (iii) From ray BY, cut-off line segment BD = 18 cm. (iv) Join CD. (v) Draw the perpendicular bisector of CD intersecting BD at A. (vi ... = AC Now, BD = BA + AD ⇒ BD = AB + AC Hence, △ABC is the required triangle.
Description : The base of a right-angled triangle measures 4 cm and its hypotenuse measures 5 cm. Find the area of the triangle. -Maths 9th
Last Answer : In right-angled triangle ABC AB2 + BC2 = AC2 (By Pythagoras Theorem) ⇒ AB2 + 42 = 52 ⇒ AB2 = 25 – 16 = 9 5 cm ⇒ AB = 3 cm ∴ Area of △ABC = 1/2 BC x AB = 1/2 x 4 x 3 = 6cm2