A triangle and a parallelogram have same base and 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??
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ANSWER:
S is semi perimeter
S = (26+28+30)/2
S = 84/2
S = 42
Area of triangle = √s(s-a)(s-b)(s-c)
= √42(42-26)(42-28)(42-30)
= √42(16)(14)(12)
= √42(2688)
= √112896
A = 336
336 = 28 h
h = 336/28
h = 12cm
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