Question

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

Answer 1

Answer:

$\large\boxed{RT=\sqrt{110}\approx10.49}$

Step-by-step explanation:

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

$\dfrac{RT}{QT}=\dfrac{TS}{RT}$

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

$\dfrac{RT}{5}=\dfrac{22}{RT}$          cross multiply

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

$RT^2=110\to RT=\sqrt{110}$