A rectangular patio has a diagonal walkway. The length of one side of the patio is 9 meters long. The length of the other side of the patio is 12 meters long. How long is the walkway? Round your answer to the nearest tenth.

Respuesta :

You will use the Pythagorean Theorem to find the length of the walkway.

A diagonal across creates 2 congruent triangles which are right triangles.

a^2 + b^2 = c^2
12^2 + 9^2 = c^2
144 + 81 = c^2
225 = c^2; find the square root of 225
c = 15 meters

The length of the walkway is 15 meters.