Question

a construction company is pouring a concrete foundation. The measures of the two sides that meet in a corner are 33 feet and 56 feet. for the corner to be a right angle, what would be the length of the diagonal?

Answer 1

Answer:

The diagonal must be $65\ feet$ in order to make right angle.

Step-by-step explanation:

Given the measure of the two sides that meet in a corner are $33$ feet and $56$feet.

We need to find the length of the diagonal, that will make a right angle.

Let $a=33\ feet$, $b=56\ feet$ and $c$ is the diagonal.

For the right-angle triangle, we will use Pythagorean's theorem.

$a^2+b^2=c^2\\33^2+56^2=c^2\\1089+3136=c^2\\4225=c^2\\\sqrt{4225}=\sqrt{c^2}\\c=65\ feet$

So, the diagonal must be $65\ feet$ in order to make right angle.