Mathematics, 22.05.2020 20:58, Yuii
The hypotenuse of a right triangle has endpoints A(4, 1) and B(β1, β2). On a coordinate plane, line A B has points (4, 1) and (negative 1, negative 2). At which points could the vertex of the right angle in the triangle be located? Check all that apply. (β1, 1) (4, β2) (1, 1) (2, β2) (4, β1) (β1, 4)
Answers: 3
is given by 
![34=\left [ (x-4)^2+(y-1)^2 \right ]+\left [ (x+1)^2+(y+2)^2 \right ]](/tpl/images/0662/1671/51ec4.png)
![34=\left [ (-1-4)^2+(1-1)^2 \right ]+\left [ (-1+1)^2+(1+2)^2 \right ]\\34=25+9\\34=34](/tpl/images/0662/1671/b2c13.png)
can be a vertex
![34=\left [ (4-4)^2+(-2-1)^2 \right ]+\left [ (4+1)^2+(-2+2)^2 \right ]\\34=9+25\\34=34](/tpl/images/0662/1671/084cf.png)
can be a vertex
![34=\left [ (1-4)^2+(1-1)^2 \right ]+\left [ (1+1)^2+(1+2)^2 \right ]\\34=9+4+9\\34=22](/tpl/images/0662/1671/50407.png)
cannot be a vertex
![34=\left [ (2-4)^2+(-2-1)^2 \right ]+\left [ (2+1)^2+(-2+2)^2 \right ]\\34=4+9+9\\34=22](/tpl/images/0662/1671/736ea.png)
cannot be a vertex
![34=\left [ (4-4)^2+(-1-1)^2 \right ]+\left [ (4+1)^2+(-1+2)^2 \right ]\\34=4+25+1\\34=30](/tpl/images/0662/1671/07377.png)
cannot be a vertex
![34=\left [ (-1-4)^2+(4-1)^2 \right ]+\left [ (-1+1)^2+(4+2)^2 \right ]\\34=25+9+36\\34=70](/tpl/images/0662/1671/441f7.png)
cannot be a vertex
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The hypotenuse of a right triangle has endpoints A(4, 1) and B(β1, β2). On a coordinate plane, line...
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