Question

The hypotenuse of a right triangle is twice the length of one of its legs. The length of the other leg is three feet. Find the lengths of the three sides of the triangle (in feet).

Answer 1

Answer:

3 feet , square root 3, 2 square root 3

Step-by-step explanation:

Answer 2

Use Pythagorean theorem for side1 = a, side2 =  3, and hypotenuse = 2a
    a² + b² = c²
 a² + (3)² = (2a)
  a² +  9  =  4a²
          9  =  3a²
          3  = a²
         √3 = a

side1 = a = √3 ft
side2 = 3 ft (this was given in the problem)
hypotenuse = 2a = 2√3 ft