Mathematics: Given that y is the centroid of stu, find x

Given that y is the centroid of stu, find x

memoryofdale

09.01.2022

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.

$\frac{Ty}{xy}=\frac{2}{1}$

$\frac{10}{2x-3}=\frac{2}{1}$

By cross multiplication

10 = 2 (2x-3)

10 = 4x - 6 ⇒ 4x = 10 + 6 = 16

x = $\frac{16}{4}$ = 4

Therefore, x = 4 is the answer.

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