9. 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 standson the base 28 cm. Find the height of the parallelogram. (D)
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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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