Question

the opening in a rectangle door frame measures 9 feet by 3 feet. each of the doors described in the table measures 9 feet by 3 feet but have different diagonal lengths. which door will fit in the rectangular opening

Answer 1

Door 2

Explanation:

To do this problem, we need to use the Pythagorean Theorem. The door is a rectangle and if we draw a line from corner to corner, we have right triangles.

To find the diagonal distance, we have to write and solve the equation below.

3^2 + 9^2 = c^2

9 + 81 = c^2

90 = c^2

c = the square root of 90

The square root of 90 can be simplified to 3 square roots of 10.