Task 436
Task 436: test task in emrekuruu/math-openenv, an RL environment on the Hugging Face Hub. In right triangle $EAD$ with right angle at $A$, $AE=4$ units, $AB=BC=CD$ and the area of triangle $ABE=6$ sq units. What is the length of segment $CE$? Express your answer as a decimal to the nearest tenth…
The task
In right triangle $EAD$ with right angle at $A$, $AE=4$ units, $AB=BC=CD$ and the area of triangle $ABE=6$ sq units. What is the length of segment $CE$? Express your answer as a decimal to the nearest tenth. [asy] draw((0,0)--(0,4)--(9,0)--cycle); draw((0,4)--(3,0)); draw((0,4)--(6,0)); draw(rightanglemark((9,0),(0,0),(0,4))); label("A",(0,0),S); label("B",(3,0),S); label("C",(6,0),S); label("D",(9,0),S); label("E",(0,4),N); label("4",(0,0)--(0,4),W); [/asy]