Alg6.8

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Find the area of the triangle formed by (5,2),(-9,-3),(-3,-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}|[5(-3+5)-9(-5-2)-3(2+3)]|\,

\frac{1}{2}|10+63-15|\,

\frac{1}{2}|58|\,

Hence the area of the triangle is 29.


Main Page:Geometry:Basics

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