the height of a triangle with vertices (1,5) (2,3) and (-1,-6) is multiplied by 4 what is the change in the area?

Answer 1

If the above are the 3 vertices of a triangle.

The distance between the sides is the length of the side.

Distance is calculated by : square root of ( x2 - x1) ^2 + ( y2 - y1) ^2

considering this as base of the triangle, height is calculated by taking mid point of this base,

which is: ( x1 + x2 ) /2 + ( y1 + y2 ) /2

Then, area is calculated by : 1/2 * base * height

Distance between opposite vertex and the mid-point is the Height of the triangle.

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