Chapter 4, Problem 4PS

To determine

To explain: Triangle ABC, triangle ADE, triangle AFG are similar triangle as the figure mentioned in the problem.

Answer to Problem 4PS

All the three mentioned triangle above are similar by the property of angle side angle.

Explanation of Solution

Given information:

The mentioned above triangles are triangle ABC, triangle ADE, triangle AFG where figure are mentioned in the problem.

Formula:

To check common angles and angles property.

Calculation:

Consider the statement that triangle ABC, triangle ADE, triangle AFG where figure are mentioned in the problem.

Recall that for similarity of triangles we have to check common angles and the angles property.

The angle property states that if the triangle have common angle then it is possible that it is similar triangle.

Therefore in the mentioned triangle in the problem angle A is common and right angle ${90}^0$ is common.

Therefore sides are equal of all the three triangles.

So, the three triangle ABC, triangle ADE, triangle AFG ae similar.