Chapter 4.3, Problem 57STP

To determine

To find:Which triangle is similar to triangle ABC as shown below.

  

Answer to Problem 57STP

The correct option is J, which means that triangle ABC is similar to triangle J.

Explanation of Solution

Given information: The given triangle ABC is shown as,

  

From the triangles F, G, H and J if we observe triangle ABC with the triangle J and taking ratios of corresponding sides as shown,

  

  $\begin{array}{c}\frac{8.6}{4.3}=\frac{18}{9}=\frac{15}{7.5}\\ \frac{2}{1}=\frac{2}{1}=\frac{2}{1}=k\left(\text{say}\right)\end{array}$

Now, the ratio of corresponding sides of triangle ABC with triangle J is 2:1. Therefore, triangle ABC is similar to triangle J.

Hence, the option J is correct.