1. Use Similar Right Triangles Ch 7.3

2. Similar Right Triangle Theorem If the altitude is drawn to the hypotenuse of a right triangle, then the two triangles formed are similar to the original right triangle.

3. How do you names the 3 similar triangles? 1. Draw the smallest triangle. îSUT ~ îTUR 2. Draw the middle triangle. 3. Draw the largest triangle. ~ îSTR 4. Match up the angles.

4. Name the similar triangles, then find x. îEHG ~ îGHF ~ îEGF To find x make a ratio of the hypotenuses and the a ratio of 2 proportional legs.

5. Name the similar triangles and find x. îLKM ~ îMKJ ~ îLMJ

6. Find x and y. 21 72 x y

7. Find x.

8. Find x

9. Theorem 7.6 In a right triangle the altitude from the right angle to the hypotenuse divides the hypotenuse into 2 segments. The length of the altitude is the geometric mean of the lengths of the 2 segments

12. Finding the length of the altitude B CA D 1.Set up a proportion to find BD. 2.Find side AD. 3.Plug values into

13. Finding the length of the altitude. 10.8 19.2

14. 2.710.7

15. 9.6 13.8

16. Find the amplitude, if these are right triangles. One of these is not a right triangle 8.56.6 not right

17. Theorem 7.7 In a right triangle, the altitude divides the hypotenuse into 2 segments. The length of each leg of each right triangle is the geometric mean of length of the hypotenuse and a segment of the hypotenuse

18. Find x and y 4.2512.75 xy

19. Find x

20. Find x and y 28 x +2 y

21. Find a

22. Find b

24. Find x and y y x |--------- 34 -------------| 30 z 16