Question

Given that Y is the centroid of STU, find x

Answer 1

XY is 1/2 TY. 1/2 of 10 is 5. 5=4x-6. x=4

Answer 2

x = 4

Explanation:

In the given triangle STU, Y is the centroid of the triangle.

Since centroid is the point of a triangle which divides all the medians of the triangle in 2 : 1 ratio.

therefore, y divide Tx om 2 : 1 ratio.

`(Ty)/(xy)=(2)/(1)`

`(10)/(2x-3)=(2)/(1)`

By cross multiplication

10 = 2 (2x-3)

10 = 4x - 6 ⇒ 4x = 10 + 6 = 16

x =
`(16)/(4)` = 4

Therefore, x = 4 is the answer.