: David measured the floor of his storage unit, which is rectangular. It is 12 meters wide and 15 meters from one corner to opposite corner. How long is the storage unit?

9 meters

Step-by-step explanation:

A line between two opposite corners splits the floor into two right angled triangles, therefore we can use Pythagoras’ Theorem which is:

a^2 + b^2 = c^2

where c is the hypotenuse, and a and b are the other two sides.

Hypotenuse in this question is 15 metres while one side is 12 metres. The length will now be:

a^2 + b^2 = c^2

12^2 + b^2 = 15^2

b^2 = 15^2 - 12^2

b^2 = 225 - 144

b^2 = 81

b = ✓81

b = 9m

The length of the storage unit is 9m

it has to have an angle of 90 degrees