Question

if A(4,1),B(-2,3),and C(0,5) are vertices of triangle ABC and AD is its median ,then answer the following questions based on this information​

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 $A(x_1,y_1)$ and $B(x_2,y_2)$ are the end points of a line segment, 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.

To learn more on brainly:

1) Classify which of the following point lie on X - axis ?

(2, 0) (3, 2) (5, 0) (0, –4)

https://brainly.in/question/44974698

2) जर (3, 2) हा बिंदू 5x + ay = 19 या समीकरणाच्या आलेखावर असेल तर, ची किंमत काटा. If the point (3, 2) lies on the graph...

https://brainly.in/question/45993603