Question
Quantitative Ability and Data Interpretation Question on Geometry
Ramesh and Reena are playing with triangle ABc. Ramesh draws a line that bisects ∠BAC; this line cuts BC at d. Reena then extends AD to a point P. In response, Ramesh joins B and P. Reena then announces that BD bisects ∠PBA, what a surprise! Together, Ramesh and Reena find that BD= 6 cm, AC= 9 cm, DC= 5 cm, BP= 8 cm, and DP = 5 cm. How long is AP?
A
10.5 cm
B
11 cm
C
1a.5 cm
D
10.75 cm
E
1a.75 cm
Answer
1a.75 cm
Explanation
Solution
The correct answer is option (E):1a.75 cm