1. Special Right Triangles
Obj: To use the properties of and right triangles

3. Theorem
In a triangle, the hypotenuse is the square root of 2 times as long as the leg. 4

4. Example
8 cm
Find a.
The length of the hypotenuse of a 45°-45°-90° triangle is times as long as a leg of the triangle.
Answer:

5. Theorem
In a triangle, the hypotenuse is twice as long as the shorter leg and the longer leg is the square root of 3 times as long as the shorter leg. 2x x

6. Example
Find QR.
is the longer leg, is the shorter leg, and is the hypotenuse.
Answer:

7. Your Turn
Find BC.
4 = AB
So BC = 2AB
So BC = 8
Answer: BC = 8 in.

8. Point W has the same x-coordinate as X. W is located units below X.
COORDINATE GEOMETRY is a 30°-60°-90° triangle with right angle X and as the longer leg. Graph points X(-2, 7) and Y(-7, 7), and locate point W in Quadrant III.
is the shorter leg is the longer leg. So, Use XY to find WX.
Point W has the same x-coordinate as X. W is located units below X.
Answer: The coordinates of W are or about

9. Put this in your agenda
Pg 461
3-11 odd, , ,
Homework