Class 10 Maths · Triangles · NCERT Exercise 6.3 · Question 6

Triangles Medium

In Fig. 6.37, if

△ A B E ≅ △ A C D

, show that

△ A D E \sim △ A B C

Fig. 6.37

Answer

From

△ A B E ≅ △ A C D

, CPCT gives

A B = A C

and

A E = A D

, hence

\frac{A D}{A B} = \frac{A E}{A C}

. With the common included angle

∠ D A E = ∠ B A C

, the SAS similarity criterion gives

△ A D E \sim △ A B C

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