In the figure, STQ = SRP, PT = TQ = 6cm and..

Question 1 Report

In the figure, STQ = SRP, PT = TQ = 6cm and QS = 5cm. Find SR

Answer Details

From similar triangle, $\frac{Q S}{Q P} = \frac{T Q}{Q R} = \frac{5}{12} = \frac{6}{Q R}$

QT = $\frac{6 \times 12}{5} = \frac{72}{5} = S R = Q R - Q S$

= $\frac{72}{5} - 5 = \frac{72 - 25}{5}$

= $\frac{47}{5}$