Using Similar Right Triangles Use properties of the altitude of a right triangle

Theorem If the altitude is drawn from the vertex of the right angle of a right triangle to its hypotenuse, then the two triangles formed are ~ to the given triangle and to each other. D A C B 2

Theorem The measure of the altitude drawn from the vertex of the right angle of a right triangle to its hypotenuse is the geometric mean between the measures of the two segments of the hypotenuse. 3

Example Answer: CD is about 12.7. 4

Example Answer: about 8.5 5

Theorem If the altitude is drawn to the hypotenuse of a right triangle, then the measures of a leg of the triangle is the geometric mean between the measures of the hypotenuse and the segment of the hypotenuse adjacent to that leg. 6

Example Find c and d in Answer: 7

Put this in your agenda Pg 453 8-18, 21-26 Homework 8