The length of a rectangular frame is 15 inches, and the width of the frame is 8
inches. What is the length of a diagonal of this frame in inches?

A.64
B.225
C.15
D.17

Respuesta :

anbu40

Answer:

D) 17

Step-by-step explanation:

Each angle of rectangular frame is 90°. So, to find the diagonal of the frame, we can use Pythagorean theorem.

Diagonal of the frame is the hypotenuse.

Length of the frame is the base.

Width of the frame is the altitude.

Pythagorean theorem,

hypotenuse² = base² + altitude²

                      = 15² + 8²

                      = 225 + 64

                      = 289

Take square root,

 [tex]\sf hypotenuse = \sqrt{289} = \sqrt{17*17}\\\\hypotenuse = 17\\\\\boxed{\bf diagonal = 17 \ inches}[/tex]

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