Question

if
two similar triangles having equal area
then the two triangles are congruent. It is
correct? Explain!​

Answer 1

No, The assertion is incorrect.

EXPLANATION:-

Two triangles may have similar areas but they are not necessarily congruent, i.e., the measure of angles, lengths of corresponding sides may not be similar.

For example, A right angled triangle has a base of measure 10 cm and a height (or altitude) of 1 cm. Its Area = 1/2 × base × height=1/2×10×1=5 cm^2.

Whereas, another right angled triangle has a base of measure 5 cm and a height of 2 cm.

Its area=1/2×base×height=1/2×5×2=5 cm^2.

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