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.

MM2G1a. 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.

MM2G1a. 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 45-45-90 triangles because:

• What do you notice about the hypotenuse with respect to each leg??

MM2G1a. 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.

MM2G1a. 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 30-60-90 triangles because:

• What do you notice about the hypotenuse with respect to each leg??

MM2G1a. Determine the lengths of sides of 30°-60°-90° triangles. b. Determine the lengths of sides of 45°-45°-90° triangles.

• In a 45-45-90 right triangle, the hypotenuse is _______ times as long as each leg.

MM2G1a. Determine the lengths of sides of 30°-60°-90° triangles. b. Determine the lengths of sides of 45°-45°-90° triangles.

• In a 30-60-90 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!!

Determine if the triangle is a 45-45-90 triangle, or a 30-60-90 triangle. Then find the value of the variable.

1)

type of triangle:

x =

Determine if the triangle is a 45-45-90 triangle, or a 30-60-90 triangle. Then find the value of the variable.

2)

type of triangle:

x =

Determine if the triangle is a 45-45-90 triangle, or a 30-60-90 triangle. Then find the value of the variable.

3)

type of triangle:

x =

Determine if the triangle is a 45-45-90 triangle, or a 30-60-90 triangle. Then find the value of the variable.

4)

type of triangle:

x =

Determine if the triangle is a 45-45-90 triangle, or a 30-60-90 triangle. Then find the value of the variable.

5)

type of triangle:

x =

Determine if the triangle is a 45-45-90 triangle, or a 30-60-90 triangle. Then find the value of the variable.

6)

type of triangle:

x =

y =

HOMEWORK!!HOMEWORK!!

Pg. 153 – 154: 1 – 22 ALLPg. 153 – 154: 1 – 22 ALL

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