SOLUTION: Find the area of the triangle with vertices (0, 0), (5, 3) and (2, 6).

Question 846879: Find the area of the triangle with vertices (0, 0), (5, 3) and (2, 6).
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!

We need to find the altitude of the triangle.
Calculate the angle that the (0,0) to (5,3) line makes with the x-axis.

radians
Calculate the angle that the (0,0) to (2,6) line makes with the x-axis.

radians
So then the angle between the (2,6) line and the (5,3) line is
radians
The sine of that angle and the hypotenuse would give us the altitude of the triangle.
The hypotenuse is the distance from (0,0) to (2,6)

So then,

The base of the triangle is the distance from (0,0) to (5,3),

So then the area of the triangle is,

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