1. Warm Up
Find the value of x. Leave your answer in simplest radical form. x 9 7 x

2. Special Right Triangles
Objectives:
To use the properties of right triangles

3. 45°-45°-90° Right Triangle THEOREM:
What is it?
It is an isosceles, right triangle– Both legs are congruent!!
THEOREM:
The hypotenuse is times the length of the legs.

4. 45°-45°-90° Right Triangle IF YOU NEED TO FIND THE HYPOTENUSE:
Multiply the leg by
IF YOU NEED TO FIND A LEG:
Divide the hypotenuse by

5. Examples #1 and #2
Find h:
2. Find x: x 9 h

6. Example #3
Find x: x

7. Example #4 - A square has a perimeter of 24 inches
Example #4 - A square has a perimeter of 24 inches. How long is the diagonal?

8. 7 x Warm up 1. Find x and y. 2. Find x. x y
If you were absent on Friday… you should stay after school or go to the MATH LAB.
Warm up
1. Find x and y.
2. Find x. x 7 y x

9. Special Right Triangles
Objectives:
To use the properties of right triangles

10. 30°-60°-90° Right Triangle
Shorter Leg is the side opposite the 30° angle
Longer leg is the side opposite the 60° angle
Hypotenuse is ALWAYS opposite the 90° angle

11. If you need to find the shorter leg (side opposite 30°):

12. Examples: IF GIVEN THE SHORTER LEG OR THE HYPOTENUSE… YOU HIT THE1.
Example # 2

13. Examples: IF GIVEN THE LONGER LEG, then find the shorter leg First!1.
Example # 4

14. Example #5:
Example # 5 1.

15. Example #6: Find the value of each variable.
(Figure not drawn to scale)
a=____
b=____
c=____
d=____

16. Example #7: Find the area of the triangle.
What is the formula for area of a triangle?

17. Fill in the table of values for the side lengths of a 30-60-90 triangle:
Shorter Leg
Longer Leg
Hypotenuse 3 4 15 34 10