Question

Please solve with explanation 20 points

Answer 1

Answer:

Below.

Step-by-step explanation:

a. As the circumcentre is (0,0) and one point on the circle is (10,0) the radius is 10.

The circle has equation:

x^2 + y^2 = 10^2  

x^2 + y^2 = 100.

b. (-5, k)  is a point on the circle, so

(-5)^2 + k^2 = 100

k^2 = 100 - 25 = 75

So k =  √75

k = 5√3 or 8.66 to 2 places of decimals.

c. The lengths of the 3 sides of the triangles are 10, 10 and 15.8 so it is isosceles.