Task 676
Task 676: development task in emrekuruu/math-openenv, an RL environment on the Hugging Face Hub. An equilateral triangle has two vertices at $(0,5)$ and $(8,5)$. If the third vertex is in the first quadrant, what is the y-coordinate? Express your answer in simplest radical form. asy…
The task
An equilateral triangle has two vertices at $(0,5)$ and $(8,5)$. If the third vertex is in the first quadrant, what is the y-coordinate? Express your answer in simplest radical form. [asy] draw((-1,0)--(11,0),Arrows); draw((0,-1)--(0,12),Arrows); for(int i=0;i<11;++i) {draw((i,-0.1)--(i,0.1));} for(int j=0;j<11;++j) {draw((-0.1,j)--(0.1,j));} dot((0,5)); dot((8,5)); label("(0,5)",(0,5),W); draw((0,5)--(8,5)); label("(8,5)",(8,5),E); size(6cm); [/asy]