Question

In the given figure, seg RA and seg QB are the medians. If l(RA) = 9 cm and l(OB) = 4 cm, then find l(RO) and l(QB).

Answer 1

Step-by-step explanation:

seg RA and seg QB are medians amd they intersect at piont O . The point of intersection of meadian is called the centroid .

RO:OA =2:1 ..........( cetroid divides the median in ratio of 2:1 )

to get exact no. multiply the ratio with common multple x .

we get,

2x and x

RA= RO +OA .......(R-O-A)

9=2x+x

9=3x

x=9/3

therefore, x=3

RO =2x

RO=2* 3

RO = 6

now,

QO:OB=2:1 ...(cetroid divides the median in ratio of 2:1)

to get exact no. multiply the ratio by the common multiple y

we get,

2y and y

OB= 4 ......(given)

therefore , y=4

QB = QO +OB..... (Q-O-B)

QB=2y+y

QB=2*4 +4

QB=8+4

QB=12