Question

In triangle QRS QT=5 and TS=22 what is RT? Explain!!

Answer 1

`\large\boxed{RT=√(110)\approx10.49}`

Explanation:

ΔTQR and ΔTRS are similar (AA). Therefore the sides are in proportion:

`(RT)/(QT)=(TS)/(RT)`

We have QT = 5m ans TS = 22m. Substitute:

`(RT)/(5)=(22)/(RT)` cross multiply

`RT^2=(5)(22)`

`RT^2=110\to RT=√(110)`