In ΔPQR, point C is the centroid. If PZ = 7, then RZ =
A) 3.5
B) 7
C) 14
D) 21
2 answers:
The answer is B) 7. PZ is half of PR, which makes RZ half of RP, making RZ also 7.
Answer: B) 7
Step-by-step 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 .
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