Question

The hypotenuse of a right triangle is twice the length of one of its legs. The length of the other leg is

11
11
feet. Find the length of the three sides of the triangle. Answer exactly or round to 2 decimal places.

Answer 1

Detailed solutions attached!!~

`\rule{300pt}{3pt}`

• Hypotenuse = 22 feet
• Perpendicular = 11 feet
• Base = 19 feet

Answer 2

• 6.35, 11, 12.7

Explanation:

This is a 30° - 60° - 90° right triangle.

We know the ratio of sides:

• a : b : c = 1 : √3 : 2

We have b = 11

Find the length of a and c:

• b = √3a ⇒ 11 = a√3 ⇒ a = 11√3/3 = 6.35
• c = 2a = 2*6.35 = 12.7