1. MM2G1. Students will identify and use special right triangles.
Standards
MM2G1. Students will identify and use special right triangles.
a. Determine the lengths of sides of 30°-60°-90° triangles.
b. Determine the lengths of sides of 45°-45°-90° triangles.

2. MM2G1 a. Determine the lengths of sides of 30°-60°-90° triangles. b
MM2G1 a. Determine the lengths of sides of 30°-60°-90° triangles. b. Determine the lengths of sides of 45°-45°-90° triangles.
Use the Pythagorean theorem to find the missing side of each right triangle. Express your answers as a radicals in simplest form.

3. MM2G1 a. Determine the lengths of sides of 30°-60°-90° triangles. b
MM2G1 a. Determine the lengths of sides of 30°-60°-90° triangles. b. Determine the lengths of sides of 45°-45°-90° triangles.
What do you notice about the legs of each triangle?
These triangles are called ________________ triangles. They are also known as triangles because:
What do you notice about the hypotenuse with respect to each leg??

4. MM2G1 a. Determine the lengths of sides of 30°-60°-90° triangles. b
MM2G1 a. Determine the lengths of sides of 30°-60°-90° triangles. b. Determine the lengths of sides of 45°-45°-90° triangles.
Use the Pythagorean theorem to find the missing side of each right triangle. Express your answers as a radicals in simplest form.

5. What do you notice about the legs of each triangle?
MM2G1 a. Determine the lengths of sides of 30°-60°-90° triangles. b. Determine the lengths of sides of 45°-45°-90° triangles.
What do you notice about the legs of each triangle?
These triangles are called triangles because:
What do you notice about the hypotenuse with respect to each leg??

6. MM2G1 a. Determine the lengths of sides of 30°-60°-90° triangles. b
MM2G1 a. Determine the lengths of sides of 30°-60°-90° triangles. b. Determine the lengths of sides of 45°-45°-90° triangles.
In a right triangle, the hypotenuse is _______ times as long as each leg.

7. ALWAYS FIND THE SHORTEST LEG FIRST!!
MM2G1 a. Determine the lengths of sides of 30°-60°-90° triangles. b. Determine the lengths of sides of 45°-45°-90° triangles.
In a right triangle, the hypotenuse is _______ as long as the shorter leg, and the longer leg is ______ times as long as the shorter leg.
ALWAYS FIND THE SHORTEST LEG FIRST!!

8. Determine if the triangle is a triangle, or a triangle. Then find the value of the variable. 1)
type of triangle:
x =

9. Determine if the triangle is a triangle, or a triangle. Then find the value of the variable. 2)
type of triangle:
x =

10. Determine if the triangle is a triangle, or a triangle. Then find the value of the variable. 3)
type of triangle:
x =

11. Determine if the triangle is a triangle, or a triangle. Then find the value of the variable. 4)
type of triangle:
x =

12. Determine if the triangle is a triangle, or a triangle. Then find the value of the variable. 5)
type of triangle:
x =

13. 6) type of triangle: x = y =
Determine if the triangle is a triangle, or a triangle. Then find the value of the variable. 6)
type of triangle:
x =
y =

14. Pg. 153 – 154: 1 – 22 ALL HOMEWORK!! DRAW FIGURES AND
SHOW WORK FOR CREDIT!!