Question

Solve for x. Round your answer to the nearest tenth.

Answer 1

Check the picture below.

`\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ c^2=a^2+o^2\implies c=√(a^2 + o^2) \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{y}\\ a=\stackrel{adjacent}{7}\\ o=\stackrel{opposite}{9} \end{cases} \\\\\\ y=√( 7^2 + 9^2)\implies y=√( 49 + 81 ) \implies y=√( 130 ) \\\\[-0.35em] ~\dotfill`

`\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ c^2=a^2+o^2\implies c=√(a^2 + o^2) \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{x}\\ a=\stackrel{adjacent}{√(130)}\\ o=\stackrel{opposite}{6} \end{cases} \\\\\\ x=\sqrt{ (√(130))^2 + 6^2}\implies x=√( 130 + 36 ) \implies x=√( 166 )\implies x\approx 12.9`