Question

If a carpenter wants to make sure that the corner of a room is square and measures 9 At and 40 ft along the walls, how long should he make the diagonal?

Answer 1

Answer:

The diagonal should be 41 ft long.

Step by step explanation:

A carpenter measures 9 ft and 40ft, to calculate the diagonal we can use the Pythagorean theorem:

$\begin{gathered} a^2+b^2=c^2 \\ \text{where,} \\ a=9 \\ b=40 \end{gathered}$

Substituting:

$\begin{gathered} 9^2+40^2=c^2 \\ 81+1600=c^2 \\ c=\sqrt[]{1681} \\ c=41 \end{gathered}$

The diagonal should be 41 ft long.