1. DO NOW

2. Geometric Means in Right Triangles

7. C A D B C C D B A D

8. C A B C C D B A D

9. The altitude to the hypotenuse of a right triangle is the mean proportional between the segments into which it divides the hypotenuse.
𝑨𝑫 𝑪𝑫 = 𝑪𝑫 𝑫𝑩

10. ALTITUDE RULE
The altitude to the hypotenuse of a right triangle is the mean proportional between the segments into which it divides the hypotenuse.

11. X = 𝟏 𝟐
𝑥 2 = 2 8
X =𝟐𝟕
3 9 = 9 𝑥
40 𝑥 = 𝑥 10
X =𝟐𝟎

12. AB CB
The leg of a right triangle is the mean proportional between the hypotenuse and the projection of the leg on the hypotenuse. = CB DB
Leg Rule

13. AB CA
The leg of a right triangle is the mean proportional between the hypotenuse and the projection of the leg on the hypotenuse. = CA AD
Leg Rule

14. X = 6
9 𝑥 = 𝑥 4
X = 2 𝟕𝟎
20 𝑥 = 𝑥 14
X = 100
𝑥 60 =