Question

Radius of circumcircle of a triangle ABC is5/10 units. If point P is equidistant from A(1,3),B(-3,5) and C(5, -1), then find AP.

Answer 1

To find the length of AP, we can use the distance formula. Set up equations using the distance formula for AP, BP, and CP. Since AP, BP, and CP are all equal, set them equal to each other and solve for x and y.

Step-by-step explanation:

To find the length of AP, we can use the distance formula. Set up equations using the distance formula for AP, BP, and CP. Since AP, BP, and CP are all equal, set them equal to each other and solve for x and y.

Let's call the coordinates of point P (x,y). We know that point P is equidistant from A, B, and C, so we can set up three equations using the distance formula:

1. AP = √[(x-1)² + (y-3)²]
2. BP = √[(x+3)² + (y-5)²]
3. CP = √[(x-5)² + (y+1)²]

Since AP, BP, and CP are all equal, we can set them equal to each other and solve for x and y.