Question
Quantitative Ability and Data Interpretation Question on Triangles
XYZ is an equilateral triangle, inscribed in a circle. P is a point on the arc YZ such that X and P are on opposite sides of the chord YZ. Which of the following MUST always be true?
A
XZ + YP = XY + PZ
B
XP = XY
C
XP + PZ = XY + YP
D
XP = YP + PZ
E
XP = XY + YZ
Answer
XP = YP + PZ
Explanation
Solution
The correct option is (D): XP = YP + PZ.