Question

The hypotenuse of a right triangle is three times the length of one of its legs. The length of the other leg is four feet. Find the
lengths of the three sides of the triangle. For non-integer answer(s), round your answer(s) to the nearest tenth.

Answer 1

Answer:

Step-by-step explanation:

Let the other leg = x

x^2 + 4^2 = (3x)^2

x^2 + 4^2 = 9x^2

4^2 = 9x^2 - x^2

16= 8x^2

16/8 = x^2

x^2 = 2

x = sqrt(2)

The lengths of the sides

x = sqrt(2)      

other side =4

hypotenuse = 3*sqrt(2)

x = 1.4

other side= 4

hypotenuse = 3*1.4142

hypotenuse = 4.2