Three points have coordinates o(0,0), A(5,0) and B(7,6). If P is the point (x,y) where y>0, calculate the value of x and y given that AP=BP and that the area of the triangle AOP is 10sq. units.
Hello, Ilsa!
Three points have coordinates: .
If where , calculate the value of and.
given that and that the area ofCode:| (x,y) (7,6) | P o * B | o * * | o * * | * o * | * o | * * o | * * o | * * - - * - - - - - - - - - - - * - - - - - - (0,0) (5,0) O A
Since is equidistant from and
. . lies on the perpendicular bisector of
. . which has the equation: .
Code:| P | o (x,y) | * :* | * : * | * : * | * :y * | * : * | * : * O| * : * A - - * - - - - - - - + - - - * - - (0,0) (5,0)
The area of is 10 units
Its base is 5 and its height is .
. .
Hence: .
Therefore: .