Tuesday, April 7, 2009

Triangles

. Triangles (30-60-90, 45-45-90, 3-4-5, 5-12-13)

30-60-90 triangle and label its sides and angles
Draw a 45-45-90 triangle and label its sides and angles
(Note: All of the following are right triangles)

If the leg opposite the 30-degree angle is 8, what is the hypotenuse of the triangle?
If one of the legs is 6 and the hypotenuse is 10, what is the other leg?
If the hypotenuse is 20, what is the length of the leg opposite the 45-degree angle?
If one of the legs is 10 and the other leg is 24, what is the length of the hypotenuse?

1 comment:

  1. Draw a 30-60-90 triangle and label its sides and angles

    The side opposite the 90 will be 2X, the side opposite the 60 will be X * the square root of 3, the side opposite the 30 will be X

    Draw a 45-45-90 triangle and label its sides and angles

    The sides opposite the 45 will be Xs, the side opposite the 90 will be X * the square root of 2

    (Note: All of the following are right triangles)

    If the leg opposite the 30-degree angle is 8, what is the hypotenuse of the triangle?

    16

    If one of the legs is 6 and the hypotenuse is 10, what is the other leg?

    8 (3-4-5 triangle)

    If the hypotenuse is 20, what is the length of the leg opposite the 45-degree angle?

    10 * the square root of 2

    If one of the legs is 10 and the other leg is 24, what is the length of the hypotenuse?

    26 (5-12-13 triangle)

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