Question

PQR is a right triangle. If PQ=8, what is PR?

Answer 1

Sine formula

`\sin (angle)=\frac{\text{ opposite side}}{\text{ hypotenuse}}`

Considering angle Q = 60°, the opposite side is PR, and the hypotenuse is PQ = 8. Substituting this information into the formula, we get:

`\begin{gathered} \sin (m\angle Q)=(PR)/(PQ) \\ \sin (60\degree)=(PR)/(8) \\ \frac{\sqrt[]{3}}{2}=(PR)/(8) \\ \frac{\sqrt[]{3}}{2}\cdot8=PR \\ 4\sqrt[]{3}=PR \end{gathered}`