Special Right Triangles

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Special Right Triangles
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Definition

• Special Right Triangles right triangles whose
  angle measures are 45-45-90 or 30-60-90.

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(No Transcript)
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Get out a dollar bill if you have one!

1. What kind of triangle is this?
2. If you split this triangle down the middle (top
   to bottom) what two triangles would you have?

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Essential Question

• How do I find the side lengths of a
  30-60-90 special right triangle?
• How do I find the side lengths of a
  45-45-90 special right triangle?

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30-60-90 Triangle Theorem
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Find all side lengths for each triangle. Please
draw the triangles on your paper.
1.
60º
18
3.
30º
30º
12
60º
2.
60º
20
30º
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Warm-Up (will be collected)
Find all side lengths for each triangle. Please
draw the triangles on your paper and box your
answers.
1.
60º
26
2.
30º
30º
83
3.
60º
30º
9
60º
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45-45-90 Triangle Theorem
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Example 1

• Find the value of x.

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You Try!

• Find the value of x.

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Example 2

• Find the value of x.

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You Try!

• Find the value of x.

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Example 3

• Find the values of s and t.

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You Try!

• Find the values of f and g.