Question

Find the coordinates of the circumcenter of the triangle whose vertices are A(5,-1) , B (-1,5) and C (6,6). Find its radius also.

Answer 1

Hi,

Please see the attached file!

Thanks

Answer 2

Solution:-

refer to the attachment

Formula used:-

1. Slope of a line :

Let us consider a line segment passes

through the point (a, b) and (c, d), then slope

is given by

$= m = \frac{d - b}{c - a}$

2. Two lines having slope m and M areperpendicular iff Mm = - 1

3. Slope point form of a line

Let us consider a line passes through the

point (a, b) having slope m, then equation is

given by

y - b = m ( x - a ).

4. Distance Formula :

$distance = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2} }$

5. Midpoint Formula :

$(x, y) =( \frac{ x_{1} + x_{2} }{2} ),( \frac{ y_{1} + y_{2}}{2} )$