CBSE NCERT Solutions Chapter 6 Triangles Exercise 6.4 Question 4
4. If the areas of two similar triangles are equal, prove that they are congruent.
Solution:
Let
and
are two similar triangles having same area.
Therefore, we can write
(1)
But, we also have
(2)
{The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides}
From (1) and (2), we can say that
Therefore, by SSS, we, can say that
Hence Proved
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