Q. 9 4.3( 148 Votes )

In Fig. 6.39, ABC and AMP are two right triangles, right angled at B and M respectively. Prove that:
(i) Δ ABC ~ Δ AMP


Answer :

To Prove: Δ ABC ∼ Δ AMP

Given: In ΔABC and ΔAMP,

ABC = AMP (Each 90°)


ABC = AMP (Each 90°)

A = A (Common)

ΔABC ΔAMP (By AA similarity)

Hence, Proved.

(ii) Δ ABC ∼ Δ AMP

Now we get that,

Similarity Theorem - If the lengths of the corresponding sides of two triangles are proportional, then the triangles must be similar. And the converse is also true, so we have


Hence, Proved.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.