Similarity in Right Triangles

Question 1

geometric mean

Answer 1

of 2 positive numbers a and b, is the positive number x such that: a/x=x/b

Question 2

Theorem 8-3

Answer 2

The altitude to the hypotenuse of a right triangle divides the triangle into 2 triangles that are similar to each other and to the original triangle

Question 3

altitude

Answer 3

height

Question 4

Corollary to theorem 8-3

Answer 4

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

Question 5

Corollary 2 to theorem 8-3

Answer 5

The altitude to the hypotenuse of a right triangle separates the hypotenuse so that the length of each leg of the triangle is the geometric mean of the length of the adjacent hypotenuse segment and the length of the hypotenuse