Chapter A, Problem 15E

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4th Edition

James Stewart + 2 others

ISBN: 9781305071742

Textbook Problem

**Proving Similarity **In the figure CDEF is a rectangle. Prove that

To determine

**To prove:**

That

Explanation

**Given:**

The given figure is,

Figure

Here,

**Approach:**

Two triangles are similar if their vertices can be matched up so that corresponding angles are congruent. In this case corresponding sides are proportional.

If the two angles of the triangles are same then the third angle of the triangles have to be same, because the sum of angles in a triangle is

**Proof:**

It is given that

So,

Therefore, the two triangles are similar by

Thus,