Question

Question #87ccb

Answer 1

50 meters.

Explanation:

To solve this, we use the Pythagorean Theorem. It is used to find a side of a right triangle, be it a leg or the hypotenuse. Since rectangles contain a right angle and you need to find the diagonal, the length and the width of the rectangle serve as the legs, or a and b, and the diagonal of the rectangle serves as the hypotenuse, or c. The Pythagorean Theorem states the following:

`a^2+b^2=c^2`.

So now we just plug in your values.

`48^2+14^2=c^2`

Simplify the squares.

`2304+196=c^2`

Add 2304 and 196 to simplify.

`2500=c^2`

Now find the square root of either side to isolate c.

`50=c`

And that's your final answer! Don't forget your units though.