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Finger [1]
3 years ago
12

Given that Y is the centroid of STU, find x

Mathematics
2 answers:
disa [49]3 years ago
8 0

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.

\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.

xeze [42]3 years ago
6 0
XY is 1/2 TY. 1/2 of 10 is 5. 5=4x-6. x=4
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