Question

Using the method of integration, find the area of the triangle ABC, coordinates of whose vertices are A(4,1), B(6,6) and C(8,4)

Answer 1

A+B=10+7=17.
B+C=14+10=24.
A+C=12+5=17.

THEN THE COORDINADINATES OF ABC ARE 17, 24, 17 OK.

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Answer 2

Use the shoelace method/ theorem (counterclockwise direction)
X Y
4. 1
8. 4
6. 6

Then cross multiply which gives you 7.