Question

Find the coordinates of the circumcentre of the triangle whose sides lie along the lines x = 0, y = 0 and 3x + 2y = 12.

Hint. Circumcentre of a right triangle is the mid-point of its hypotenuse.​

Answer 1

Answer:

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Answer 2

x.........(1)

y.........(2)

Equation = 3x+2y=12

When x is (0) = 3(0)+2y=12

2y=12

y=6

When y is (0) = 3x+2(0)=12

3x=12

x=4

Now take out mid point with help of x and y

x=x1+x2/2

=0+4/2

=4/2

=2

y=y1+y2/2

=0+6/2

=6/2

=3

Therefore the coordinates are(2,3)