The base of a right-angled triangle measures 4 cm and its hypotenuse measures 5 cm. Find the area of the triangle. -Maths 9th

The base of a right-angled triangle measures 4 cm and its hypotenuse measures 5 cm. Find the area of the triangle. -Maths 9th
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1 Answer

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
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