Question

The points A(1,4) B(-2,1) C(4,1) forms a triangle finds its area please give the explanation step by step​

Answer 1

Area of triangle =

1/2 [x1 ( y2 - y3 ) + x2 ( y3 - y1 ) + x3 ( y1 - y2)]

Here, x1 = 1 , x2 = -2 , x3 = 4

y1 = 4 , y2 = 1 , y3 = 1

Now, As per the formula substitute the values

We get,

Area of triangle =

= 1/2 [x1 ( y2 - y3 ) + x2 ( y3 - y1 ) + x3 ( y1 - y2 )]

= 1/2 [ 1 ( 1 - 1 ) + -2 ( 1 - 4 ) + 4 ( 4 - 1 ) ]

= 1/2 [ 1 ( 0 ) + -2 ( -3 ) + 4 ( 3 ) ]

= 1/2 [ 0 - 6 + 12 ]

= 1/2 * 6

= 3 units.

Hope it helps you