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MM2G1. Students will identify and use special right triangles. PowerPoint Presentation
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MM2G1. Students will identify and use special right triangles. - PowerPoint PPT Presentation


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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.

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Presentation Transcript
slide1

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.

slide2
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.

slide3
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??
slide4
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.

slide5
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??
slide6
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.
slide7
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!!
slide8
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 =

slide9
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 =

slide10
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 =

slide11
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 =

slide12
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 =

slide13
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 ALL

DRAW FIGURES

AND

SHOW WORK FOR CREDIT!!