# A triangle

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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