Question

Question is in the picture Triangle ABC is similar to triangle XYZ

Answer 1

t = 6.5

Step-by-step explanation:

Since triangle ABC and triangle XYZ are similar, the ratio of the corresponding sides is constant.

Then, AB and XY are corresponding and AC and XZ are corresponding, so

`\begin{gathered} (AB)/(XY)=(AC)/(XZ) \\ (19.5)/(t)=(13.5)/(4.5) \end{gathered}`

To solve for t, we need to cross multiply, so

`\begin{gathered} 19.5(4.5)=13.5t \\ 87.75=13.5t \end{gathered}`

Divide both sides by 13.5

`\begin{gathered} (87.75)/(13.5)=(13.5t)/(13.5) \\ 6.5=t \end{gathered}`

Therefore, t = 6.5