In the diagram, (Rhat{P}Q = Qhat{R}Y, hspace{1mm} Phat{Q}R = Rhat{Y}Q, \ hspace{1mm}|QP| = 3cm hspace{1mm}|QY| = 4cm hspace{1mm}and hspace{1mm}|RY | = 5cm. hspace{1mm} Find hspace{1mm}|QR|)
-
A.
2.0cm -
B.
2.5cm -
C.
6.4cm -
D.
10.0cm
Correct Answer: Option C
Explanation
(frac{PR}{QR} = frac{QR}{QY} = frac{QP}{YR}) (SSS Congruence)
(frac{QR}{4} = frac{8}{5})
(QR = frac{4 times 8}{5})
= 6.4 cm