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8-2 Special Right Triangles

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Presentation on theme: "8-2 Special Right Triangles"— Presentation transcript:

1 8-2 Special Right Triangles

2 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.

3 Finding the Length of the Hypotenuse
What is the value of each variable?

4  What is the length of the hypotenuse of a 45-45-90 triangle with leg length 53?

5 Finding the Length of a Leg
What is the value of x?

6  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?

7 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.

8 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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