Question

State if the triangles are similar and how do you know

Answer 1

Given the side lengths of the triangles:

AB = 27 + 15 = 42

AC = 24

AW = 16

AV = 27

Let's state if triangle ABC and triangle AVW are similar triangles.

The corresponding sides of similar triangles are in proportion.

Thus, to determine the the triangles are similar, the corresponding sides must be in the same ratio.

Apply the proportionality equation;

`(AC)/(AW)=(AB)/(AV)`

Let's determine in the equation is true.

Input values into the equation:

`\begin{gathered} (24)/(16)=(42)/(27) \\ \\ 1.5=1.6 \end{gathered}`

This equation is not true.

Therefore, we can say that