Question #87ccb

1 Answer
Jun 13, 2017

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.