What is the length of the diagnal of the rectangle? A.10.625

B.126.4375

C.21.25

D.29.76

The length of the diagonal of the rectangle is C. 21.25

Step-by-step explanation:

To find the diagonal of this rectangle, we must use the Pythagorean Theorem.

, where a and b are legs and c is the hypotenuse.

As we can see the rectangle is divided into two parts, we can make out a right triangle assuming the angle where the two legs meet is 90 degrees.

Given:

a = 12.75

b = 17

Unkown:

c = ?

To find c (aka the Hypotenuse) we can plug in the Pythagorean theorem.

a^2 + b^2 = c^2

12.75^2 + 17^2 = c^2

451.5625 = c^2

c = ± 21.25

In the context of this question, we will use the positive result as lengths cannot be negative.

C. 21.25