A triangle and a parallelofram have the same base and same area . If the sides of the triangles are 13 , 14, 15 and the parallelogram stands on the base 14 . Find the height of the parallelogram
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step by step explanation:
let height of parallelogram be "h", both's base are equal i.e b = b (given)
in triangle, let sides are a = 13,b = 14, c = 15
semi perimeter of triangle
s = (13+14+15)/2 = 21 cm
area of parallelogram = area of triangle
b × h = √[s(s-a)(s-b)(s-c)]
14 × h = √[21(21-13)(21-14)(21-15)]
14h = √(21×8×7×6)
14h = √7056
14h = 84 => h = 6 cm
height of parallelogram = 6 cm Answer
#MukeshBhardwaj
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