Question

In ΔPQR, point C is the centroid. If PZ = 7, then RZ =

A) 3.5
B) 7
C) 14
D) 21

Answer 1

The answer is B) 7. PZ is half of PR, which makes RZ half of RP, making RZ also 7.

Answer 2

Answer: B) 7

Explanation:

We know that a median of a triangle is a line segment from one vertex to the mid point on the opposite side of the triangle.

• Centroid : A point in a triangle where all the three medians of the triangle meet.

From the given figure, we can see that if C is the centroid of the triangle then QP must be a median of the triangle.

It implies the point Z must be the mid point of the line segment PR .

⇒ PZ=ZR

Therefore, RZ= 7 units .