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What is the measurement of the short side and hypotenuse in a 30-60-90 triangle and the length of the long side is 24?
Wiki User
∙ 15y ago
The shorter side is the side opposite to the 30 degrees angle, which is one half of the hypotenuse measurement.
If we denote the shortest side with x, then the hypotenuse will be 2x. So we have:
(Hypotenuse)^2 - (short side)^2 = (long side)^2
(2x)^2 - x^2 = 24^2
4x^2 - x^2 = 576
3x^2 = 576 divide by 3 to both sides
x^2 = 192
x = √ 192 since the distance is always positive, ignore the negative value;
x = 13.85
2x = 27.7
Wiki User
∙ 15y ago
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