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In △QRS, QR ‖ TU. Given that TQ=6, ST=10, and UR=15, find SU.

In △QRS, QR ‖ TU. Given that TQ=6, ST=10, and UR=15, find SU.-example-1
User Kyle Ryan
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1 Answer

19 votes
19 votes

Answer:

SU=25

Explanation:

We can set up a ratio as STU and SQR are similar because of the SAS similarity theorem.

TQ:SQ

SQ=ST+TQ=10+6=16

6:16=3:8

Therefore the ratio of STU:SQR is 3:8

We can use this to find SU

UR:SR=3:8

15:SR=3:8

Cross multiply

3SR=120

SR=40

SU=SR-UR

SU=40-15

SU=25

User Spitzbuaamy
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