Q. 244.0( 23 Votes )
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
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
Area of triangle = Area of parallelogram
Let us find the area of triangle first.
s = 42 cm
Area = 144√7 cm2
Area of parallelogram = 28 × height
28 × height = 144√7
Hence, the height of the parallelogram is
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