8.1.1 Similarity in Right Triangles

Question 1

geometric mean

Answer 1

of two positive numbers is the positive square root of their product

Question 2

Theorem

Answer 2

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

Question 3

Corollary

Answer 3

The length of the altitude to the hypotenuse of a right triangle is the geometric mean of the lengths of the two
segments of the hypotenuse

Question 4

Corollary

Answer 4

The length of a leg of a right triangle is the geometric mean of the lengths of the hypotenuse and the segment
of the hypotenuse adjacent to that leg