Question

A triangle and a parallelogram have the same base and the same area. If the sides op
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
​

Answer 1

Answer:

Height of the parrellelogram is= 12cm

Step-by-step explanation:

Explanation: 2S= 26+28+30= 84

= S=42 cm

Area=√s(s-a)(s-b)(s-c) [ By Herons Formula]

Area=√42(42-26)(42-28)(42-30) = √42×16×14×12

Area= 336cm sq.

Area of parallelogram=Area of triangle

height×28= 336

Height = 12cm

Thus, the height of parallelogram is= 12cm