The legs of a right triangle are in the ratio of 3 to 1. if the length of the hypotenuse of the triangle is 40√40, then the perimeter of the triangle is betweena. 14 and 15b. 13 and 14c. 12 and 13d. 11 and 12e. 10 and 11

A. Between 14 and 15.

Step-by-step explanation:

Let x be the one leg of the right triangle.

We have been given that the legs of a right triangle are in the ratio of 3 to 1. So, the other leg of the right triangle would be 3x.

We are also told that the length of the hypotenuse of the triangle is √40.

Using Pythagoras theorem, we can set am equation as:

Let us solve for x.

Take square root of both sides:

The other leg would be .

The perimeter of the triangle would be:

Therefore, the perimeter of the triangle is between 14 and 15 and option A is the correct choice.

x=30

step-by-step explanation: