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Thursday, January 2, 2014

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

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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.

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