Question

If QV= 14 then what is the length of QU? and If QV= 14 then what is the length of QU? and If RV = 17 then what is the length of VS?

Answer 1

QU is 21, and I *think* that VS would be 8.5.

Answer 2

QV = 21 , VS = 8.5

Explanation:

QU and RS are medians of Δ PQR

the point V where the medians intersect is the centroid.

on each median the distance from the vertex to the centroid is twice as long as the distance from the centroid to the midpoint.

then

VU =
`(1)/(2)` QV =
`(1)/(2)` × 14 = 7

so

QU = QV + VU = 14 + 7 = 21

and

VS =
`(1)/(2)` RV =
`(1)/(2)` × 17 = 8.5