Question

Find the missing dimension of the figure shown to the right round to the nearest 10th

Answer 1

Given the right triangle:

The Pythagorean theorem states that:

`a^2+b^2=c^2`

From the problem, we identify:

`\begin{gathered} b=14^(\prime)^(\prime) \\ c=19^(\prime)^(\prime) \end{gathered}`

And a is our missing value. Using the Pythagorean theorem:

`\begin{gathered} a+14^2=19^2 \\ a^2=361-196 \\ a=\sqrt[]{165} \\ a=12.8^(\prime)^(\prime) \end{gathered}`