Chapter 10.4, Problem 19E

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6th Edition

Daniel C. Alexander + 1 other

ISBN: 9781285195698

Textbook Problem

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Use the analytic method to decide what type of triangle is formed when the midpoints of the sides of an isosceles triangle are joined by line segments.

To determine

**To answer:**

What type of triangle is formed for the given condition?

Explanation

Given theorem is,

The midpoints of the sides of an isosceles triangle are joined by line segments

The above figure shows the isosceles triangle ABC.

E, F and G are the midpoints of the ides of the isosceles triangle AB, BC and AC respectively.

Now, joining the midpoints EF, FG and GE as shown in the above figure.

The coordinate of the quadrilateral ABCD is

The midpoint of AB

The midpoint of AB

The midpoint of AB

The midpoint of BC

The midpoint of BC

The midpoint of AC

The midpoint of AC

Using distance formula,

EF

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