A triangle and a parallelogram have the same base and the same area. Ifthe 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.
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Answer:
height of the parallelogram = 12 cm
Step-by-step explanation:
Lets find area of triangle using hero formula
a = 26 cm b = 28 cm c = 30 cm
s = (a + b + c)/2 = (26 + 28 + 30)/2 = 42
Area = √s(s-a)(s-b)(s-c)
= √42(42-26)(42-28)(42-30)
= √42 * 16 * 14 * 12
= √7 * 6 * 4 * 4 * 7 * 2 * 2 * 6
= 7 * 6 * 4 * 2
= 336 cm²
Area of Parallelogram = Base * Height
=> 28 * height = 336
=> height = 12 cm
height of the parallelogram = 12 cm
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