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Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

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BuyFindarrow_forward

Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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In Δ A B C , the midpoints of the sides are joined. (a) what does intuition suggest regarding the relationship between Δ A E D and Δ F D E ? (We will prove this relationship later.) (b) what does intuition suggest regarding Δ A E D and Δ E B F .

Chapter 3.1, Problem 7E, In ABC, the midpoints of the sides are joined. a what does intuition suggest regarding the

To determine

a)

To explain:

The intuition regarding the relationship between ΔAED and ΔFDE.

Explanation

Given:

The given figure is shown below.

Approach:

As per given information, the mid-points of the sides are joined in ΔABC. So triangles formed by joining the midpoints will be of equal sides.

Therefore, by SSS postulate, all the four smaller triangles inside ΔABC are congruent

To determine

b)

The intuition regarding the relationship between ΔAED and ΔEBF.

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