#How to find C for isosceles triangle

50 messages · Page 1 of 1 (latest)

wicked jasper
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This is what I have so far, but I can't find AC no matter what I do.

The answers are (-2,3), (2,-3),(3,2),(10,11),(9,6),and (14,5) but I don't know how to calculate them.

gusty edgeBOT
mild spruce
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so you have to find all the different points of c right?

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take every case for which thr triangle would be isoceles

wicked jasper
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how do I fidn that though

mild spruce
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think about it

wicked jasper
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Tried

mild spruce
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two sides would be equal

wicked jasper
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yeah

mild spruce
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thers three sides for a trisngle

wicked jasper
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yes

mild spruce
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how many possible cases can u form

wicked jasper
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but I don't know how to get the points, I could get the length

wicked jasper
mild spruce
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yk the distance formula right?

mild spruce
wicked jasper
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yeah

mild spruce
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use it

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take any two sides as equal

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find the coordinates of the third side

wicked jasper
mild spruce
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you get eome value from the distance formula

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use it to find coordinates of the other point

mild spruce
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its easy to find the cords of the third

wicked jasper
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no I have coordinates of two points

mild spruce
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yes

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use it to find cords of the third

wicked jasper
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so I assume the given side is equal to one of the other sides, then find the distance of all sides and use that to get the point?

mild spruce
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yes

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you can take AB = AC

wicked jasper
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yes

mild spruce
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AC= BC

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and so on

wicked jasper
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how do I get the point from one side and knowing the lengths though?

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Sorry, I'm just really confused

mild spruce
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ok

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thats fine

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take AB as base

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draw a line perpendicular to AB from point C

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to the midpoint of AB

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considering CA = CB

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now find that point

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@wicked jasper

wicked jasper
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Thank you

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It makes sense now

mild spruce
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then you find slope of AB

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from that you can get slope of the perpendicular bisector drawn to the midpoint of AB

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from there you can get the equation for the line

wicked jasper
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.solved