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Given side QU is similar to side RT, find for side QS.

Given side QU is similar to side RT, find for side QS.-example-1

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If side QU is similar to side RT, QS equals 4

What is line QS

If side QU is similar to side RT,

Then,

SU is similar to QS

ST + TU : QR + RS

ST : RS = TU : QR

4 : 2 = 4 : x

4/2 = 4/x

cross product

4 ×x = 4 × 2

4x = 8

x = 8/4

x = 2

Therefore,

QS = QR + RS

= 2 + 2

= 4

User GoldPseudo
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