Question

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

Answer 1

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