In the figure, fq is parallel to rs". the length of pt is 3 cm; the length of pq
is 5 cm; the length of rs is 15 cm. what is the length of rt?
a. 12 cm
b.9 cm
c. 8 cm
d. 10 cm

The measure of length RT is 9 cm  .

Step-by-step explanation:

Given figure as :

The Triangle TRS and Triangle TPQ are similar triangles

I.e Δ TRS ≈ Δ TPQ

And The measure of side PT = 3 cm

The measure of side PQ = 5 cm

The measure of side RS = 15 cm

Let The measure of side RT =  x cm

So, From the property of similar triangles

=

I.e =

Or, =

Or, = 3

∴  x = 3 × 3

I.e x = 9 cm

Hence The measure of length RT is 9 cm  .  Answer