Question

Find the missing side length of each right triangle. 5.) 60 m 63 m (a) 19.2 m (b) 87 m (c) 11 m (d) 85 m

Answer 1

To find the missing side length we need to use the Pythagorean theorem:

$c^2=a^2+b^2$

Where a and b are the legs of the triangle:

$\begin{gathered} a=60 \\ b=63 \end{gathered}$

We substitute this to find the hypotenuse c (the missing side)

$\begin{gathered} c^2=60^2+63^2 \\ c^2=3600+3969 \\ c^2=7,569 \end{gathered}$

Now, we take the square root of both sides of the equation:

$\begin{gathered} \sqrt[]{c^2}=\sqrt[]{7,569} \\ c=87 \end{gathered}$

Answer: 87m