Question

A right triangle is shown.
Enter the value of x. Round your answer to the nearest hundredth.

Answer 1

`\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}{29}\\ o=\stackrel{opposite}{4} \end{cases} \\\\\\ x=√( 2.9^2 + 4^2)\implies x=√( 8.41 + 16 ) \implies x=√( 24.41 )\implies x\approx 4.94`