SOLUTION: What is the proof for Theorem 7.4: If the altitude is drawn to the hypotenuse of a right triangle, then the two triangles formed are similar to the original triangle and to each ot

Question 407097: What is the proof for Theorem 7.4: If the altitude is drawn to the hypotenuse of a right triangle, then the two triangles formed are similar to the original triangle and to each other
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
Just do some angle chasing:

Letting angle BAD = alpha, it follows that angle ABD = 90 - alpha. Since angle ABC is right, angle CBD = alpha, and angle DCB = 90 - alpha. You can show by angle-angle-angle similarity that all three triangles are similar.

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