Question

The circumcentre of the triangle formed by (1,-2),
(-2,4) and (3,-6)is

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Answer 1

Explanation:

let the three given coordinates be A B and C

A=(1,-2),B=(-2,4)&C=(3,-6)

AB=√{1-(-2)}²+(-2-4)²=√9+36=√45

BC=√(-2-3)²+{4-(-6)}²=√25+100=√125

CA=√(3-1)²+{-6-(-2)}²=√32

now the circumference will be the sum of these lengths

AB+BC+CA=√45+√125+√32=3√5+5√5+5√2

=8√5+4√2

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