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pav-90 [236]
3 years ago
13

In triangle RST, SQ=8 and QT=12. Find SW and UQ

Mathematics
1 answer:
Doss [256]3 years ago
6 0

Given:

In triangle RST, SQ=8 and QT=12.

To find:

The measure of sides SW and UQ.

Solution:

We know that centroid of a triangle is the intersection point of the medians and it divides each median in 2:1.

In the given figure SW and TU are medians and Q is the centroid. So,

\dfrac{SQ}{QW}=\dfrac{2}{1}

\dfrac{8}{QW}=\dfrac{2}{1}

\dfrac{8}{2}=QW

4=QW

Now,

SW=SQ+QW

SW=8+4

SW=12

TU is a median. So,

\dfrac{QT}{UQ}=\dfrac{2}{1}

\dfrac{12}{UQ}=\dfrac{2}{1}

\dfrac{12}{2}=UQ

6=UQ

Therefore, the measure of SW is 12 units and the measure of UQ is 6 units.

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