Question

S is the centroid of triangle XYZ.

What is the length of SW?

5 units
11 units
22 units
28 units

Answer 1

Explanation:

11 units

Answer 2

Solution: S is centroid of triangle XYZ.

As centroid is point of intersection of medians. and centroid divides the median in the ratio of 2:1.

`(SZ)/(ST)= (2)/(1) \\(4m+8)/(3m-1)=2`

→ 4 m +8= 2( 3 m -1)

→ 4 m + 8 = 6 m - 2

→ 6 m - 4 m= 8 +2

→ 2 m=10

→ m= 10 ÷2= 5 units

SX = 2×5 +12=10+12=22 units

`(SX)/(SW)= (2)/(1) \\(22)/(SW)=2`

→ 2 SW = 22

→ SW=22÷2=11 units

Option (3) is true.