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Question

Calculate the area of a triangle with vertices 1,1,3,1 And 5,7 .


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Solution

Calculate the area of a triangle:

Given vertices of a triangle are 1,1,3,1 And 5,7 .

So, we have

x1=1,y1=1

x2=3,y2=1

x3=5,y3=7

By the formula of area of triangle when coordinates of vertices are given, we have;

As we know the formula of Area Of a Triangle =12x1y2-y3+x2y3-y1+x3y1-y2

Now by substituting the given coordinates, we get;

=1211-7+37-1+51-1=121-6+36+50=12-6+18+0=1212=12×12=6sq.unit

Therefore, the area of a triangle formed from the given points is 6 square units.


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