Q14 of 50 Page 12

A triangle and a parallelogram have the same base and the same area. If the sides of the triangle are 13 cm, 14 cm and 15 cm and the parallelogram stands on the base 14 cm, find the height of the parallelpgram.

Let a, b and c are the sides of triangle and s is


the semi-perimeter, then its area is given by:


A = where [Heron’s Formula]


= = 21


A=


A = = cm2


Therefore area of ∆ =


84 × 2 = 14× Altitude


Altitude = 12 cm


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