In △QRS, QR ‖ TU. Given that TQ=6, ST=10, and UR=15, find SU.
1 answer:
Answer:
SU=25
Step-by-step 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
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