Billy wants to make trail mix using almonds, peanuts, and raisins. He wants to mix one part almonds, two parts peanuts, and thre
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We'll use rise over run to find the slopes of two of the sides of the triangle:
Because C is the rightmost point, we'll have it represent (x1,y1), and have A and B represent (x2,y2):
A to C
(-2,3) to (2,-1)
The slope of the line from A to C is -1.
B to C
(-3,-6) to (2,-1)
The slope of the line from B to C is 1.
These lines intersect at (2,-1), and they have negative reciprocal slopes of each other, which creates a perpendicular angle. This means that triangle ABC is a right triangle, and angle ACB is the right angle.
Because C is the rightmost point, we'll have it represent (x1,y1), and have A and B represent (x2,y2):
A to C
(-2,3) to (2,-1)
The slope of the line from A to C is -1.
B to C
(-3,-6) to (2,-1)
The slope of the line from B to C is 1.
These lines intersect at (2,-1), and they have negative reciprocal slopes of each other, which creates a perpendicular angle. This means that triangle ABC is a right triangle, and angle ACB is the right angle.
The formula for this is 
. If the diameter is 8 the radius is 4, so filling in accordingly we have 
and 
which is 
and when you multiply in 3.14 you get that A = 401.92 or B above.