SOLUTION: Determine the exact coordinates of Point P if r=4 square root of 2 Triangle has 45 degree angle

Question 443499: Determine the exact coordinates of Point P if r=4 square root of 2 Triangle has 45 degree angle
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Determine the exact coordinates of Point P if r=4 square root of 2 Triangle has 45 degree angle
..
We are working with a right triangle with legs of equal length and a hypotenuse=4√2
let x=length of legs
by pythagorean theorem,
(4√2)=sqrt(x^2+x^2)=sqrt(2x^2)
squaring both sides
32=2x^2
x^2=16
x=+-4
ans:
Point P can have coordinates in all 4 quadrants as follows:
quadrant I, (4,4)
quadrant II, (-4,4)
quadrant III, (-4,-4
quadrant IV, (4,-4
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