Maths / Coordinate Geometry / Area of Triangle Using Coordinate

QUESTION
 

Find the area of triangle whose vertices are (a,a),(a+1,a+1),(a+2,a)

EXPLANATION
Explain TypeExplanation Content
Text

The area of the triangle formed by the vertices A(a,a), B(a+1,a+1) and C(a+2,a) is given by

                                         large frac {1}{2}left [ a(a+1-a)+(a+1)(a-a)+(a+2)(a-a-1) right ]                           

                                       large =frac {1}{2}left [ a(1)+(a+1)(0)+(a+2)(-1) right ]

                                      large =frac {1}{2}left [ a+0-a-2 right ]

                                    large =frac {1}{2}left [-2 right ] = -1 sq: units

as area can not be negative, so we ignore the minus sign.

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