a triangle and a parallelogram have same base and the same area if the sides of triangle are 15 CM 14 cm and 13 cm and parallelogram stands on the base of 15cm find the height of the parallelogram
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Answer: height = 5.6 cm
Step-by-step explanation:
Area of ∆=
By Heron's formula
a=15 b=14 c=13
s=(a+b+c)/2
s= (15+14+13)/2
=21 cm
Area =√s(s-a)(s-b)(s-c)
= √21(6)(7)(8)
=84cm²
Area of ∆ = area of Parallelogram= 84cm²
Base * height = 84 cm²
Height = 5.6 cm
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