5.8 notes and homework 1-6-14

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5-8 Applying Special Right Triangles
Warm Up
For Exercises 1 and 2, find the value of x.
Give your answer in simplest radical form.
1.
2.
Simplify each expression.
3.
Holt McDougal Geometry
4.
5-8 Applying Special Right Triangles
Standard U5S9
I can justify and apply properties
of 45°-45°-90° and
30°- 60°- 90° triangles.
Holt McDougal Geometry
5-8 Applying Special Right Triangles
Holt McDougal Geometry
5-8 Applying Special Right Triangles
Example 1A: Finding Side Lengths in a 45°- 45º- 90º
Triangle
Find the value of x. Give your
answer in simplest radical form.
Holt McDougal Geometry
5-8 Applying Special Right Triangles
Example 1B: Finding Side Lengths in a 45º- 45º- 90º
Triangle
Find the value of x. Give your
answer in simplest radical form.
Holt McDougal Geometry
5-8 Applying Special Right Triangles
Check It Out! Example 1a
Find the value of x. Give your answer in
simplest radical form.
Holt McDougal Geometry
5-8 Applying Special Right Triangles
Check It Out! Example 1b
Find the value of x. Give your answer in
simplest radical form.
Holt McDougal Geometry
5-8 Applying Special Right Triangles
A 30°-60°-90° triangle is another special right
triangle. You can use an equilateral triangle to find
a relationship between its side lengths.
Holt McDougal Geometry
5-8 Applying Special Right Triangles
Example 3A: Finding Side Lengths in a 30º-60º-90º
Triangle
Find the values of x and y. Give
your answers in simplest
radical form.
Holt McDougal Geometry
5-8 Applying Special Right Triangles
Example 3B: Finding Side Lengths in a 30º-60º-90º
Triangle
Find the values of x and y. Give your
answers in simplest radical form.
Holt McDougal Geometry
5-8 Applying Special Right Triangles
Check It Out! Example 3a
Find the values of x and y.
Give your answers in simplest
radical form.
Holt McDougal Geometry
5-8 Applying Special Right Triangles
Check It Out! Example 3b
Find the values of x and y.
Give your answers in
simplest radical form.
Holt McDougal Geometry
5-8 Applying Special Right Triangles
Check It Out! Example 3c
Find the values of x and y.
Give your answers in
simplest radical form.
Holt McDougal Geometry
5-8 Applying Special Right Triangles
Check It Out! Example 3d
Find the values of x and y.
Give your answers in
simplest radical form.
Holt McDougal Geometry
5-8 Applying Special Right Triangles
Homework: p. 372 #1-3, 5-7 textbook
Holt McDougal Geometry
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