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.

Answer 1

Answer:

• 150 inches
• 260 inches

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.