Question

If a(2,4), b(0,2) & c(4,2) are the vertices of triangle abc, then find the length of the median

Answer 1

Answer:

here is ur answer

Step-by-step explanation:

it can easily be solved using Mid point formula for the median's coordinates and than the Distance formula to find the lenght of the median.

Answer 2

The length of the median(AD) = 2 units

Step-by-step explanation:

Given by question,

The three vertices of a triangle are A(2, 4), B(0, 2) and C(4, 2).

To find, the length of the median(AD) = ?

∴ The coordinate (D) perpendicular to B and C

= $(\dfrac{0+4}{2}, \dfrac{2+2}{2})$

= $(\dfrac{4}{2}, \dfrac{4}{2})$ = (2, 2)

The length of the median(AD) =

Using distance formula,

$\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$

= $\sqrt{(2-2)^2+(2-4)^2}$

= $\sqrt{(0)^2+(-2)^2}$

= $\sqrt{4}$

= 2 units

∴ The length of the median(AD) = 2 units