A triangle and a parallelogram have the same base and the same area if the sides of a 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:12 cm
Step-by-step explanation:
by herons formula,
area of triangle = √s(s-a)(s-b)(s-c),s = a+b+c/2
s = 84/2
= 42
area = √42 × 12 × 14 × 16
= √2 × 3 × 7 × 2 × 2 × 3 × 2 × 7 × 2 × 2 × 2 × 2
= 2 × 2 × 2 × 3 × 7
336 cm²
they have the same area
so area of the parallelogram = 336 cm²
height of a parallelogram = area/base
= 336/28
= 12 cm(ans)
hope it helped you out!!!
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