Chapter 9.1

Question 1

Theorem 9.2

Answer 1

In a right triangle, the length of the altitude from the right angle to the hypotenuse is the geometric mean of the lengths of the two segments of the hypotenuse

Question 2

Theorem 9.3

Answer 2

In a right triangle, the altitude from the right angle to the hypotenuse divides the hypotenuse in two segments. Each leg of the right triangle is the geometric mean of the hypotenuse and the segment of the hypotenuse that is adjacent to the leg

Question 3

Geometric mean

Answer 3

The geometric mean of two numbers A and B is the positive number X such: A/X=X/B

Question 4

Theorem 9.1

Answer 4

If the altitude is drawn to the hypotenuse of a right triangle, then the two triangles are similar to the original triangle and to each other