What is the length of PR?
A. 7
B. 8
C. 6
D. 9

Answer:
C
Step-by-step explanation:
The triangles are similar by the AA postulate, thus the ratios of corresponding sides are equal, that is
[tex]\frac{AB}{PQ}[/tex] = [tex]\frac{AC}{PR}[/tex] , substitute values
[tex]\frac{20}{5}[/tex] = [tex]\frac{24}{PR}[/tex] ( cross- multiply )
20PR = 120 ( divide both sides by 20 )
PR = 6 → C