Special Right Triangles

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Presentation transcript:

Special Right Triangles

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.

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

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

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

 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?

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.

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?