Special Right Triangles

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Special Right Triangles

• 9.4

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Theorem 9.845-45-90 Triangle Theorem

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

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Example

• Find the value of x.

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Example

• Find the value of x.

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Theorem 9.930-60-90 Triangle Theorem

• In a 30-60-90 triangle, the hypotenuse is
  twice as long as the shorter leg, and the longer
  leg is
• times as long as the shorter leg.

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Example

• Find the value of s and t.

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Example

• The road sign is shaped like an equilateral
  triangle. Estimate the area of the sign by
  finding the area of the equilateral triangle.

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Example cont
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Homework

• Pg. 554
• 12-27 All