Question

In the similar triangles below, what is the length of AB?

Answer 1

Given:

There are given two triangles, ABC and DEF.

Where,

`\begin{gathered} AC=6cm \\ BC=4cm \\ DE=15cm \\ DF=18cm \end{gathered}`

Step-by-step explanation:

To find the value of two congruent triangles, we need to use the ratio properties:

So,

From the given congruent triangle:

`(AB)/(DE)=(AC)/(DF)`

Then,

Put the all values into the above ratio expression:

So,

`\begin{gathered} \begin{equation*} (AB)/(DE)=(AC)/(DF) \end{equation*} \\ (AB)/(15)=(6)/(18) \\ (AB)/(15)=(1)/(3) \\ 3AB=15 \\ AB=(15)/(3) \\ AB=5 \end{gathered}`

Final answer:

Hence, the correct option is D.