Question

Given that S is the centroid of triangle MNO, find SQ. A. 4. B. 5. C. 10. D. 15

Answer 1

First, we need to calculate for x. Since,
MP = PN
Thus,

3x-4 = x+4
2x = 8
x = 4

Next, we calculate for MS 
MS = 2x + 2 = 10

Since, MS = 2SQ
10 = 2SQ
Then,
SQ = 5 units

Therefore, the correct answer is B.

Answer 2

Calculate x first.
MP = PN
3x-4 = x+4
2x = 8
x = 4 units

Calculate MS
MS = 2x + 2 = 10 units

Then MS=2 SQ
10 = 2SQ
SQ = 5 units

The final answer, SQ is B. 5 units.