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Question-165565




Question Number 165565 by ajfour last updated on 04/Feb/22
Answered by aleks041103 last updated on 04/Feb/22
If a and b is the only info given,  the positions of the circles are not  uniquely defined.
$${If}\:{a}\:{and}\:{b}\:{is}\:{the}\:{only}\:{info}\:{given}, \\ $$$${the}\:{positions}\:{of}\:{the}\:{circles}\:{are}\:{not} \\ $$$${uniquely}\:{defined}. \\ $$
Commented by mr W last updated on 04/Feb/22
the area of the triangle is a function  of the position of the circles and the  positions of the two vertices on the  two circles, i.e. a function of three  variables.   a nice question, but also a very hard  one.
$${the}\:{area}\:{of}\:{the}\:{triangle}\:{is}\:{a}\:{function} \\ $$$${of}\:{the}\:{position}\:{of}\:{the}\:{circles}\:{and}\:{the} \\ $$$${positions}\:{of}\:{the}\:{two}\:{vertices}\:{on}\:{the} \\ $$$${two}\:{circles},\:{i}.{e}.\:{a}\:{function}\:{of}\:{three} \\ $$$${variables}.\: \\ $$$${a}\:{nice}\:{question},\:{but}\:{also}\:{a}\:{very}\:{hard} \\ $$$${one}. \\ $$
Commented by ajfour last updated on 04/Feb/22
so what..yeah take it that way..
$${so}\:{what}..{yeah}\:{take}\:{it}\:{that}\:{way}.. \\ $$
Answered by ajfour last updated on 05/Feb/22

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