Question

: Find the area of triangle whose vertices are
(-8,-2).(-4,-6) and (-1,5)​

Answer 1

Answer:

Hope this helps u....

Area of triangle is 28sq.cm

Answer 2

Given : The vertices of the triangle are (-8,-2),(-4,-6) and (-1,5)

To find : The area of the triangle.

Solution :

The area of the triangle is 28 sq.unit

We can simply solve this mathematical problem by using the following mathematical process. (our goal is to calculate the area of the triangle)

Here, we will be using general formulas of coordinate geometry.

Here,

(x1,y1) = (-8,-2)

(x2,y2) = (-4,-6)

(x3,y3) = (-1,5)

Area of the formed triangle by the given three points :

= ½ [x1(y2-y3) + x2(y3-y1) + x3(y1-y2)]

= ½ [-8(-6-5) - 4(5+2) - 1(-2+6)]

= ½ × (88-28-4)

= ½ × 56

= 28 sq.unit

(This will be considered as the final result.)

Hence, the area of the triangle is 28 sq.unit