Question

Find the length of the missing measure . Round to the nearest tenth

Answer 1

Since we have a right triangle, we can apply Pythagorean theorem. The hypotenuse is always in from of the righ angle, then we can write

`18^2=x^2+9^2`

which gives

`324=x^2+81`

By subtracting 81 to both sides, we have

`\begin{gathered} 243=x^2 \\ or\text{ equivalently,} \\ x^2=243 \end{gathered}`

By taking square root to both sides, we get

`\begin{gathered} x=\sqrt[]{243} \\ x=15.588 \end{gathered}`

Therefore, by rounding to the nearest tenth, the answer is 15.6 units