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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.

User OneAndOnly
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1 Answer

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Answer:

  • 150 inches
  • 260 inches

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.

User Neysa
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