SOLUTION: The doorway of a family room measures 78 inches by 36 inches. What is the length of the diagonal?

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Question 1138250: The doorway of a family room measures 78 inches by 36 inches. What is the length of the diagonal?
Answer by MathLover1(20849) About Me  (Show Source):
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The doorway of a family room measures 78 inches by 36 inches. What is the length of the diagonal?

The doorway of a family room is in shape of rectangle, so diagonal will divide it in two right triangles.
use Pythagorean theorem:
d%5E2=78%5E2%2B36%5E2
d%5E2=6084%2B1296
d%5E2=7380
d=sqrt%287380%29
d=85.91in