Question

If in two right triangles, one of the acute angles of one triangle is equal to an acute angle of the other triangle, can you say that the two triangles will be similar? Why?

Answer 1

Let two right angled triangles be ∆ABC and ∆PQR

In which, ∠A = ∠P = 90°

And ∠B = ∠Q = acute angle  ...(Given)

Then, by AA similarity criterion, ∆ABC ~ ∆PQR