Question

Congruent Triangles ?

Answer 1

Check the picture below.

well, it's noteworthy to say that when dropping a perpendicular line from a right angle in a right triangleto the hypotenuse, we'd end up with 3 similar triangles, a Large a Medium and a Small one, all three similar.

3a)

is the Small similar to the Large one? well, let's notice, they both have a 90° angle and also they share the purple one, similar triangles by AA.

3b)

are the Medium and the Large one similar?  well, let's notice, just like before, they both have a 90° and they also share the green one, similarity by AA.

3c)

are the Small and Medium similar?

if Large ~ Medium

and

Large ~ Small

then

Medium ~ Small.