Question

The altitude to the hypotenuse of a right triangle forms two triangles that are similar to each other and to the original triangle.

Answer 1

In a right triangle, if we draw an altitude from one of the vertices to the hypotenuse, it divides the right triangle into two smaller triangles. These two triangles are similar to each other and to the original triangle.

The property of similarity states that if two triangles have corresponding angles that are congruent, then the triangles are similar. In this case, the two smaller triangles formed by the altitude have corresponding angles that are congruent to the corresponding angles of the original triangle.

Therefore, the two smaller triangles are similar to each other and to the original triangle. This means that their corresponding sides are proportional in length.

Explanation:

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