Answer:
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
[tex]\dfrac{\textrm measure of side TR}{\textrm measure of side TP}[/tex] = [tex]\dfrac{\textrm measure of side RQ}{\textrm measure of side PQ}[/tex]
I.e [tex]\dfrac{TR}{TP}[/tex] = [tex]\dfrac{RS}{PQ}[/tex]
Or, [tex]\dfrac{x}{3}[/tex] = [tex]\dfrac{15}{5}[/tex]
Or, [tex]\dfrac{x}{3}[/tex] = 3
∴ x = 3 × 3
I.e x = 9 cm
Hence The measure of length RT is 9 cm . Answer
