A(5,1) b(1,5) c(-3,-1) are the vertices of triangle ABC find the length median AD?

Question

Answer

Answer

Length of Median AD in Triangle ABC

Explanation

Median is a line segment joining a vertex of a triangle to the midpoint of the opposite side. In this case, we are to find the length of median AD in Triangle ABC.

Steps to Follow

Find the coordinates of point D, the midpoint of side BC.

Calculate the length of side BC.

Use the midpoint formula to find the distance between points A and D.

Calculation

Finding the coordinates of point D

Using the midpoint formula, we can find the coordinates of point D:

D = ((1 + (-3))/2, (5 + (-1))/2) = (-1,2)

Calculating the length of side BC

To find the length of side BC, we can use the distance formula:

BC = sqrt((1 -(-3))^2 + (5 -(-1))^2) = 5sqrt(2)

Using the midpoint formula to find the distance between points A and D

Now that we have the coordinates of point D and the length of side BC, we can use the midpoint formula to find the distance between points A and D:

AD = sqrt((5 -(-1))^2 + (1 -2)^2)/2 = sqrt(26)/2

Answer

The length of median AD in Triangle ABC is sqrt(26)/2.

Answer

I think question is not at all complete the question itself seems unanswerable because there is no d in here

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