Question

ΔQRS is an isosceles triangle. What is the length of RT¯¯¯¯¯

R
T
? Round to the nearest hundredth. Enter your answer in the box.

Answer 1

`\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=√(c^2 - a^2) \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{11}\\ a=\stackrel{adjacent}{6}\\ o=\stackrel{opposite}{RT} \end{cases} \\\\\\ RT=√( 11^2 - 6^2)\implies RT=√( 121 - 36 ) \implies RT=√( 85 )\implies RT\approx 9.22`