Perimeter of the rhombus is 100 m and its diagonal is 40m. Find the area of rhombus. -Maths 9th

Perimeter of the rhombus is 100 m and its diagonal is 40m. Find the area of rhombus. -Maths 9th
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Perimeter of rhombus =4×side ⇒ 100=4×side ⇒ side= 4 100 ​⇒ side=25 We know diagonals of a rhombus divides the rhombus in two equilateral triangle. Now, we are going to find area of 1 equilateral triangle. Semi perimeter = 2 25+25+40 ​=45 We will use Heron's formula to find are of equilateral triangle. ⇒ Area of triangle = s(s−a)(s−b)(s−c) ​ = 45(45−40)(45−25)(45−25) ​ = 45×5×20×20 ​ = 90000 ​ =300m 2 ⇒ Area of rhombus =2×300m 2 =600m 2
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