Question

a triangle has its vertices (1,1) (-1,1) and (1,-1).find the slope of the median through c​

Answer 1

Answer:

A=(1, 1)

B=(-1,1)

C=(1,-1)

Let median of triangle be

D=(n, y)

E=(n, y)

F=(n, y)

D=(0,1)

E=(1,0)

F=(0,0)

Answer 2

Slope is - 2.

Step-by-step explanation:

The triangle, Δ ABC has its vertices are A(1,1), B(-1,1) and C(1,-1).

Now, if the midpoint of AB is D then the coordinates of D will be $(\frac{1 - 1}{2},\frac{1 + 1}{2}) = (0,1)$

So, the slope of the median of the Δ ABC i.e. slope of the line CD will be

$\frac{- 1 - 1}{1 - 0} = - 2$. (Answer)

Note: The coordinates of the midpoint of two points $(x_{1},y_{1})$ and $(x_{2},y_{2})$ is given by $(\frac{x_{1} + x_{2}}{2}, \frac{y_{1} + y_{2}}{2})$.

Again, the slope of the straight line joining the same two points is given by

$\frac{y_{1} - y_{2}}{x_{1} - x_{2}}$.