Question

A triangle and a parallelogram shares same base .Also, area of the triangle is equal to
the area of the parallelogram. If area of the triangle is 25√3 cm2 and base of the
parallelogram is 5 cm , find the height of the parallelogram.​

Answer 1

Explanation:

According to the Question

It is given that triangle and a parallelogram shares same base .Also, area of the triangle is equal to the area of the parallelogram. If area of the triangle is 25√3 cm2 and base of the parallelogram is 5 cm . We have to calculate the height of parallelogram. So , Let's begin

Let the height of parallelogram be h cm.

::⟹ Area of ∆ = Area of Parallelogram (given)

Substitute the value we get

:\⟹ 25/√3 = 5 × h

:\:⟹ h × 5 = 25/√3

:\⟹ h = 25/5 × 1/√3

:\:⟹ h = 5 × 1/√3

:\⟹ h = 5/√3 cm or

:\⟹ h = 5√3/3 cm

Hence, the height of the Parallelogram is 5/√3 or 5√3/3.

Answer 2

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