Alg6.9

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

The formula for finding the area of the traingle 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)]|\,

Aplying 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|\,

Hence the area of the triangle is 20.


Main Page:Geometry:Basics

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