A triangle and a parallelogram have the same base and same area if the sides of triangle are 120 cm, 170 cm and 250 cm and the parallelogram stands on the base 250 cm find the height of the parallelogram. *
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Answer:
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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