Question

Given that E is the centroid of triangle YAZ find YZ.

Answer 1

Its 18. a centroid connects the midpoint of one side to the vertex opposite to it. So 9 is 1/2 of YZ and 9 times 2 is 18

Answer 2

The length of YZ is 18.

Explanation:

we need to find the length of YZ ,

Given triangle YAZ with median at E

Since, The centroid divides each median in the ratio 2:1.

In figure -1

So,
`YB=(YZ)/(2)`

Since, YB = 9

`9=(YZ)/(2)`

Multiply both the sides by 2,

`18=YZ`

Therefore, the length of YZ is 18.