Find the side labeled x in the following figure.8A right triangle is given.The first side of length 8 is opposite the angle 30°.The second side of length x is opposite an unlabeled angle.The third side is opposite the right angle.x =
Question
Find the side labeled x in the following figure.8A right triangle is given.The first side of length 8 is opposite the angle 30°.The second side of length x is opposite an unlabeled angle.The third side is opposite the right angle.x =
Solution
The triangle in question is a 30-60-90 triangle. In a 30-60-90 triangle, the sides are in the ratio 1:√3:2.
The side opposite the 30° angle is the shortest side and is half the length of the hypotenuse. In this case, the side opposite the 30° angle is given as 8.
Therefore, the hypotenuse (side x) would be twice the length of the side opposite the 30° angle.
So, x = 2 * 8 = 16.
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