If the lengths of the sides of a parallelogram are 13 cm and 10 cm and the length of one of its diagonal is 9 cm, then find its area.
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Answer:
Area of || gm ABCD= 89.79 sq-cm
Step-by-step explanation:
As we know that area of a parallelogram is
But here perpendicular height is not given in the question.
See the figure attached, here we come to know that a diagonal divides the parallelogram into two equal triangles.
Area of || gm = ar(∆ADC)+ar(∆ABC)
Since ∆ADC is congruent to ∆ABC
So
Area of || gm = 2 × ar(∆ADC)
As we know that when sides are given we can calculate the area of triangle by Heron's Formula
a=13 cm
b= 10 cm
c= 9 cm
Area of || gm =
Hope it helps you
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