1. 7-3 Special Right Triangles
Goal 1: To use the properties of 45°-45°-90° triangles
Find the measures of the missing sides. Leave answers in radical form.

2. Solutions
1. 2 2.
3. 3

3. Right triangles whose angle measures are 45°-45°-90° or 30°-60°-90°
are called special right triangles.

4. The Triangle
Start with a right isosceles triangle.
This right isosceles triangle may be called a triangle. c x x
To find the third, unknown side of the right triangle, use the Pythagorean Theorem.
a2 + b2 = c2 Pythagorean Theorem
x2 + x2 = c2 Substitution Property of Equality
2x2 = c2 Simplify
= c Simplify

5. Theorem: In a 45-45-90 triangle, the hypotenuse is times as long as its leg.x x

6. Triangles
Multiply by
Leg
Hypotenuse
Divide by

7. Ex. Find the values of the variable. 1. 2. x 3 x 3 x x

8. Assignment: pp #1-11, 47-55