Question

Find area of triangle formed by the points (1, 2) (3, -4) and (-2, 0)

plz qnswer this question............

Answer 1

Step-by-step explanation:

this is the answer

Ans=11sq.units

I

Answer 2

Concept

If (x1 , y1), (x2 ,y2), and (x3, y3) are the coordinates of the three vertices of a triangle, then the area of the triangle can be calculated as-

Area = (1/2) | x1 (y2 − y3 ) + x2 (y3 − y1 ) + x3 (y1 − y2 )|

Given

a triangle is formed using the three points (1, 2) (3, -4) and (-2, 0)

Find

we need to calculate the area of the given triangle

Solution

Here, we have

(x1 , y1) = (1, 2)

(x2 ,y2) = (3, -4)

(x3, y3) = (-2, 0)

Putting these values in the area formula we get

Area = 1/2  | 1 ( -4 - 0 ) + 3 ( 0 - 2) + -2 ( 2 + 4) |

= 1/2  | -4 - 6 - 12 |

= 1/2 x 22

= 11

Hence, the area of the given triangle is 11 square units.

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