Maths Trig Question please help?
The point D (4,5) is at the centre of a circle.
The point E (12,11) sits on the circumference of the circle. Point g sits on the circumferance also.
Line DE is perpendicular to line DG.
Find the possible coordinates for point G.
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Here’s what I did. I graphed out the center at (4,5) and drew the radius out to (12,11). I worked the distance formula and got d = 10. I used the slope formula and got m = 3/4. A line perpendicular to that would have a slope of -4/3. From the center point I followed the slope to (-2,13) and (10, -3).
Then I checked by using those points along with the center and used the distance formula again. The distance from center to (-2,13) is 10 and the distance from center to the other point is also 10.
Perhaps someone else would solve it differently.
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