   Chapter 4.CR, Problem 24CR ### Elementary Geometry for College St...

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

#### Solutions

Chapter
Section ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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# Review ExercisesIn Review Exercises 22 to 24, M and N are the midpoints of F J - and F H - respectively. Given: M N = x 2 + 6 J H = 2 x ( x + 2 ) Prove: x ,   M N ,   J H

To determine

To Find:

The length of the line joining the mid points of the sides of the triangle and measure of sides based on the information provided.

Explanation

Formula Used:

Sum of the interior angle of a triangle is 180°.

Theorem on triangle:

The line segment that joins the midpoints of two sides of a triangle is parallel to the third side and has a length equal to one-half the length of the third side.

That is, ABC with midpoints M and N of AB- and AC-, respectively. Then MN-BC-. It can be concluded that BC=12(MN)

Calculation:

It is given that FJH is a triangle with M and N are the midpoints of FJ- and FH-.

Also given that MN=x2+6 and JH=2x(x+2)

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