Question

if a(4,1) b(-2,3) and c(0,5) are the vertices of triangle abc and ad its median , then coordinates of mid point side BC are​

Answer 1

Step-by-step explanation:

Given: If A(4,1),B(-2,3) and C(0,5)and vertices of triangle ABC and AD is its median.

To find:Coordinates of midpoint of side BC are ?

Solution:

Tip: Mid-point formula

if $(x_1,y_1)$ and $(x_2,y_2)$ are the points then midpoint of this line segment is $\left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)$.

Step 1: We know that median AD joins Vertex A and Mid-point of BC.

Step 2: Apply mid-point formula

B(-2,3) and C(0,5)

$\left(\frac{-2+0}{2},\frac{3+5}{2}\right)$

$\left(\frac{-2}{2},\frac{8}{2}\right)$

D(-1,4)

Final answer:

Midpoint of BC is D(-1,4)

Hope it helps you.

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