9-4 Simmilar Right Triangles

Question 1

Three similar triangles theorem

Answer 1

If the altitude is drawn from the hypotenuse of a right triangle then the two triangles formed are similar to the first triangle and each other

Question 2

Geometric mean altitude theorem

Answer 2

In a right triangle the altitude from the right angle to the hypotenuse divides the hypotenuse into two segments and the altitude is the geometric mean of the lengths of the two segments that were created

Question 3

Geometric mean leg theorem

Answer 3

In a right triangle the altitude from the right angle to the hypotenuse divides the hypotenuse into two segments and the length of each leg is the geometric mean of the hypotenuse and the segment is adjacent to that leg