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8-2 Special Right Triangles
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45-45-90 Triangles 45-45-90 Triangle Theorem: In a 45-45-90 triangle, both legs are congruent and the length of the hypotenuse is 2 times the length of a leg.
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Finding the Length of the Hypotenuse
What is the value of each variable?
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What is the length of the hypotenuse of a 45-45-90 triangle with leg length 53?
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Finding the Length of a Leg
What is the value of x?
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The length of the hypotenuse of a 45-45-90 triangle is 10
The length of the hypotenuse of a 45-45-90 triangle is 10. What is the length of one leg?
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30-60-90 Triangles 30-60-90 Triangles Theorem: In a 30-60-90 triangle, the length of the hypotenuse is twice the length of the shorter leg. The length of the longer leg is 3 times the length of the shorter leg.
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Using the Length of One Side
What is the value of d in simplest radical form? What is the value of f in simplest radical form?
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