A triangle and a parallelogram have the same base and the same area. If the sider
the triangle are 26 cm, 28 cm and 30 cm, and the parallelogram stands on the
28 cm, find the height of the parallelogram.
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Answer:
12cm is the answer
Step-by-step explanation:
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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