Question

Help the image says it all

Answer 1

5 sqrt(10) square units

Explanation:

The coordinates of the points A, B, and C are (-6,-2), (2,-8), and (-4,-6), respectively.

To find the area of a triangle, we can use the following formula:

Area of a triangle = 1/2 * base * height

We can use the distance formula to find the length of the base, which is AB:

`d(A,B) = sqrt((x2 - x1)^2 + (y2 - y1)^2)`

Substituting the coordinates of A and B, we get:

`d(A,B) = sqrt((2 - (-6))^2 + (-8 - (-2))^2) = sqrt(64 + 36) = 10`

Now, we need to find the height of the triangle. The height of a triangle is the perpendicular distance from a vertex to the opposite base. In this case, we can draw a perpendicular line from C to AB:

[Image of triangle ABC with line segment CD drawn perpendicular to AB]

The length of CD is the height of the triangle. We can use the distance formula to find the length of CD:

`d(C,D) = sqrt(((-7) - (-4))^2 + (-5) - (-6))^2) = sqrt(9 + 1) = sqrt(10) \\`

Now, we can find the area of the triangle:

Area of triangle ABC = 1/2 * base * height = 1/2 * 10 * sqrt(10) = 5 * sqrt(10)

Therefore, the area of triangle ABC is 5 square roots of 10 square units.

NOTE IF YOU FIND THIS ANSWER USEFULL IN ANY WAY THEN PLEASE CONSIDER GIVE 5 START AND NOT FORGET TO MAEK AS BRAINIST. THIS SMALL STEP SEEMS EASY BUT HAVE A GREAT IMPACT ON SOMEONE.

Answer 2

use distance formula and solve it

Explanation:

this formula is in co ordinate geometry class 10 ncert book