Solution:
Given,
It is given that the parallelogram and triangle have equal areas.
The sides of the triangle are given as 26 cm, 28 cm and 30 cm.
So, the perimeter = 26+28+30 = 84 cm
And its semi perimeter = 84/2 cm = 42 cm
Now, by using Heron’s formula, area of the triangle =
= √[42(42-26)(42-28)(42-30)] cm2
= √[42×16×14×12] cm2
= 336 cm2
Now, let the height of parallelogram be h.
As the area of parallelogram = area of the triangle,
28 cm× h = 336 cm2
∴ h = 336/28 cm
So, the height of the parallelogram is 12 cm.
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