32. 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
Pulh are nacked in cartons each containing 401 lbs. Seven hundred cartons were examined for
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25
Perimeter of Triangle
2S=26+28+30=84
⇒S=42cm
Area √s(s−a)(s−b)(s−c)
(Heron's formula)
Area = √42(42−26)(42−28)(42−30)
= √42×16×14×12
Area=336cm
2
Area of parallelogram = Area of triangle
⇒ h×28=336
⇒h=12cm
Height of parallelogram =12cm
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12 CM is your answer!!
hope it helps you!!
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