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Proving algebraically question w/ right angled triangle and bisectors??

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1. i've come across across a question in aqa fm level 2 that i am stumped with. i can do the other two (a and b) but i can't wrap my head around how i can do c algebraically. i've tried looking it up and all that comes up is stuff about the circumcenter which i've never learnt?? watched a few vids on it but still don't see how it can help with the algebra part lol

so basically the set of questions are:
[A = (0,4), B = (4,6), C = (2,0)]
a) find the equation of BC
b) show the point of interception of the perpendicular bisectors of AB and AC is (3,3)
c) SHOW ALGEBRAICALLY THAT THE POINT LIES ON LINE BC

but i only don't understand question c. i know that it does lie on line BC as it fits in with the equation buT ALGEBRA??
2. (Original post by lily628)
but i only don't understand question c. i know that it does lie on line BC as it fits in with the equation buT ALGEBRA??
Showing that it "fits with the equation" is what algebraically means. So you've already done it.
3. (Original post by Zacken)
Showing that it "fits with the equation" is what algebraically means. So you've already done it.
omg lmao
thanks

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