Question

1 Triangle ABC has vertices A(-2,-5),B(-7,5),andC(1,1).AD is a median. The gradient
of AD is

​

Answer 1

Step-by-step explanation:

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Asked on December 26, 2019 by

Vignesh Itty

If the coordinates of the vertices of the triangle ABC be (−1,6),(−3,−9), and (5,−8) respectively, then the equation of the median through C is

A

13x−14y−47=0

B

13x−14y+47=0

C

13x+14y+47=0

D

13x+14y−47=0

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ANSWER

Let the Median be CD

Point of D is (x,y)

Now,

x=

2

−3−1

,x=−2 and y=

2

6−9

=−

2

3

Slope of CD is,

=

5+2

8−

2

3

=

14

13

Equation:

CD=y+8=

14

13

(x−5)

So the equation of Median,

13x−14y−47=0