Question

What is the length of the longest side of the triangle similar to triangle DEF?

Answer 1

35

Step-by-step explanation:

The proportion between the corresponding sides of the similar triangles is constant. It means that the ratio of the shortest side of the triangles is equal to the ratio of the longest side of the triangles, then:

`(20)/(24)=(x)/(42)`

Where x is the longest side of a similar triangle.

Now, we can solve for x as:

`\begin{gathered} (20)/(24)\cdot42=(x)/(42)\cdot42 \\ 35=x \end{gathered}`

Then, the answer is 35.