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Question

In a squared sheet, draw two triangles of equal area such that:
The triangles are congruent.
What can you say about their perimeters?

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Solution

In a squared sheet, draw ΔABC and ΔPQR.
When two triangles have equal areas,
These triangles are congruent, i.e., ΔABC and ΔPQR [By SSS congruence rule]Then, their perimeters are same because the length of sides of the first triangle is equal to the length of sides of another triangle by SSS congruence rule.

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