Question

the vertices of a triangle are A(1,2),B(5,7),C(11,13). find the length of median passing through A

Answer 1

answer in in this click
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Answer 2

Answer:

The length of median is 10.6 units.

Step-by-step explanation:

Given the vertices of triangle are A(1,2), B(5,7), C(11,13)

we have to find the length of median passing through A

As the median of triangle pass through the mid-point of opposite side i.e median of triangle passthrough A and mid-point of side BC

Now, by mid-point formula

The coordinates of point D which is the mid-point of side BC are

$(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})=(\frac{5+11}{2},\frac{7+13}{2})=(8, 10)$

By distance formula

The length of median i.e the distance between the points A(1,2) and D(8,10) is

$Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

                   $=\sqrt{(8-1)^2+(10-2)^2}$

                   $=\sqrt{49+64}=\sqrt{113}=10.6301\sim10.6$

The length of median is 10.6 units.