In Fig. 6.39, ABC and AMP are two righttriangles, right angled at B and Mrespectively. Prove that:

Question

In Fig. 6.39, ABC and AMP are two righttriangles, right angled at B and Mrespectively. Prove that: (i) &#x394; ABC ~ &#x394; AMP (ii)

Philoid · Accepted Answer

(i) In ΔABC and ΔAMP,

∠ABC = ∠AMP (Each 90°)

∠A = ∠A (Common)

∴ΔABC ΔAMP (By AA similarity)

(ii) (Corresponding sides of similar triangles are proportional)