Question #294303

in the triangle ABC having vertices at A(-2,5), B(6,1) and C(-2,-3), find the length of the median from vertex B to side AC.

1
Expert's answer
2022-02-08T09:49:03-0500

Given: A(-2,5), B(6,1) and C(-2,-3)

Mid point of AC = (x1+x22,y1+y22)=(2+62,5+12)=(2,3)(\frac {x_1+x_2}{2}, \frac{y_1+y_2}{2})=(\frac{-2+6}{2}, \frac{5+1}{2})=(2, 3)

Let D be the mid point of AC so coordinate of D is (2,3).

Now, length of median from B to AC is BD.

B(6,1), D(2,3)

BD=(x2x1)2+(y2y1)2=(62)2+(13)2=16+4=25 unitBD=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}=\sqrt{(6-2)^2+(1-3)^2}=\sqrt{16+4}=2\sqrt{5}\ \text{unit}


Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be the first!
LATEST TUTORIALS
APPROVED BY CLIENTS