Answer:
x = 4
Step-by-step 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.
[tex]\frac{Ty}{xy}=\frac{2}{1}[/tex]
[tex]\frac{10}{2x-3}=\frac{2}{1}[/tex]
By cross multiplication
10 = 2 (2x-3)
10 = 4x - 6 ⇒ 4x = 10 + 6 = 16
x = [tex]\frac{16}{4}[/tex] = 4
Therefore, x = 4 is the answer.
