   Chapter 10.CR, Problem 31CR Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

A 2 a ,   2 b , B 2 c ,   2 d , and C 0 ,   2 e are the vertices of ∆ A B C .a) Find the length of the median from C to A B - .b) Find the slope of the altitude from B to A C - . c) Find the equation of the altitude from B to A C - .

To determine

(a)

To find:

The length of the median from C to AB- for the triangle ABC with vertices A2a, 2b, B2c, 2d, and C0, 2e.

Explanation

In order to find the length of the any two points, we can use distance formula,

Distance =x2-x12+y2-y12

Initially find the midpoint of AB- by using the midpoint formula,

Midpoint x, y=x1+x22, y1+y22

Using the above formula and choosing x1=2a, x2=2c, y1=2b, and y2=2d.

Midpoint x, y=2a+2c2, 2b+2d2

Midpoint

To determine

(b)

To find:

The slope of the altitude from B to AC- for the triangle ABC with vertices A2a, 2b, B2c, 2d, and C0, 2e.

To determine

(c)

To find:

The equation of the altitude through B to AC- for the triangle ABC with vertices A2a, 2b, B2c, 2d, and C0, 2e.

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