The hypotenuse of a triangle is one foot more than twice the length of the shorter legal. the longer leg is seven feet longer than the shorter leg. find the dimensions of the triangle

Step-by-step explanation:

First, we need to express the problem in equations. We will use the pythagorean theorem because we have a right triangle.

The longer side we're gonna call it .

The shorter side will be

The hypothenuse will be

Now, the problem is giving us relations.

This can be expressed like

This can be expressed like

Now, applying the pythagorean theorem, we have:

From these values, we use the positive one, because it refers to length. Replacing this value in each expression, we find each element of the triangle:

Therefore, the dimensions of the right triangle are 8, 15 and 17.

step-by-step explanation: