HELP! Please pyth. theorem

Given:

The given triangle QPO is a right triangle.

The length of QP is 5 units.

The length of OP is (x + 5) units.

The length of QO is (x + 6) units.

We need to determine the hypotenuse of the triangle QPO.

Value of x:

The value of x can be determined using the Pythagorean theorem.

Thus, we have;

Substituting the values, we get;

Expanding, we get;

Adding the like terms, we get;

Thus, the value of x is 7.

Length of the hypotenuse:

The hypotenuse of the triangle QPO is QO.

Substituting x = 7 in the length of QO, we get;

Thus, the length of the hypotenuse is 13 units.

Hence, Option D is the correct answer.