A triangle is in the shape of a 30 degrees minus 60 degrees minus 90 degrees right triangle. If the hypotenuse of the outer triangle is 25
Question
A triangle is in the shape of a 30 degrees minus 60 degrees minus 90 degrees right triangle. If the hypotenuse of the outer triangle is 25 ft, find the lengths of the legs of the triangle, in inches.
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2022-02-16T12:29:48+00:00
2022-02-16T12:29:48+00:00 1 Answer
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Answer:
Step-by-step explanation:
The sides of a 30°-60°-90° right triangle have the ratios …
1 : √3 : 2
The shortest side is half the length of the hypotenuse, so is …
(25 ft)(12 in/ft) = 150 in
The longer side is √3 times that length, so is about …
(150 in)√3 ≈ 259.808 in
The legs of the triangle are 150 inches and about 260 inches.