Question

How long must the brace be on a closet rod holder if the vertical side is 19 cm and the horizontal side must be attached 37 cm from the wall?

Answer 1

The length of the brace can be calculated using the Pythagorean Theorem:

$\begin{gathered} c^2=a^2+b^2 \\ where \\ c=hypotenuse \\ a,b=legs \end{gathered}$

From the question, we have the following parameters:

$\begin{gathered} a=37 \\ b=19 \end{gathered}$

c is the length of the brace.

Therefore, we can calculate as follows:

$\begin{gathered} c^2=37^2+19^2 \\ c^2=1369+361=1730 \\ c=\sqrt{1730} \\ c=41.6 \end{gathered}$

The length of the brace is 41.6 cm.