# A triangle and a parallelogram have the same base and the same area. If the sides of the triangle are 26 cm, 28 cm, and 30 cm, and the parallelogram stands on the base 28 cm, find the height of the parallelogram.

To Find: Height of the parallelogram

Given: Sides of triangle are 26 cm, 28 cm, and 30 cm

Base of parallelogram = 28 cm

Concept Used:

If sides of a triangle are a, b, and c, then area of a triangle is given by:

Where s = semiperimeter of the triangle

Area of parallelogram = base × height

Explanation:

Area of triangle = Area of parallelogram

Let us find the area of triangle first.

s = 42 cm

Area = 144√7 cm2

Now,

Area of parallelogram = 28 × height

Therefore,

28 × height = 144√7

Hence, the height of the parallelogram is

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