Find the area of the triangle formed by (1, 3),(3, -1),(-5, -5)

Thursday, January 2, 2014

Find the area of the triangle formed by (1, 3),(3, -1),(-5, -5)

Posted by Anonymous at 8:25 PM

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Problem: How to find the area of the triangle formed by the points (1, 3),(3, -1),(-5, -5)

$(1,3),(3,-1),(-5,-5)\,$

Solutions:

The formula for finding the area of the triangle formed by

$(x_1,y_1),(x_2,y_2),(x_3,y_3)\,$ is

$\frac{1}{2}|[x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)]|\,$

Applying the formula,we get

$\frac{1}{2}|[1(-1+5)+3(-5-3)-5(3+1)]|\,$

$\frac{1}{2}|4-24-20|\,$

$\frac{1}{2}|-40|\,$

Therefore, the area of the triangle is 20.

List of Similar Problems with Complete Solutions

How to find the area of a polygon
How to find distance between two points
Examples Problems with Solutions in Geometry

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Thursday, January 2, 2014