30-60-90 Triangle Ratios

30-60-90 Triangle Ratios

10th Grade · Math · 45 min

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Learning Objective

I can determine the side lengths of a 30-60-90 triangle using the ratio relationships.

  • 1

    In a 30-60-90 triangle, the side opposite the 30-degree angle is always half the length of the hypotenuse.

  • 2

    In a 30-60-90 triangle, the side opposite the 60-degree angle is equal to √3/2 times the length of the hypotenuse.

  • 3

    To rationalize a denominator that includes a square root, multiply both the numerator and the denominator by the square root in the denominator.