Question

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

Answer 1

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