Question

An architect is making a floor plan for a rectangular gymnasium.The distance between opposite corners of the gym will be 30 meters and the width will be 18 meters. What will be the length of the gym?

Answer 1

30^2=A^2+18^2
900=A^2+324
900-324=A^2
576=A^2
24=A
Length is 24 meters

Answer 2

The length is: 24 meters

Here's why

So the hypotenuse theory or aka A^2 + B^2 = C^2 lets us know this:

A = 18

B = What we are looking for

C = 30

So before we apply these we're going to do some magic:

B = sqrt(-A^2 + C^2)

Now just put in the numbers

B = sqrt(-18^2 + 30^2)

B = sqrt(576)

B = 24 meters