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Omni-MATH / The feet of the angle bisectors of ΔABC form a right-angled triangle. If the right-angle is at X , where AX is the bisector of ∠A , find all possible values for ∠A .

Problem

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problem

The feet of the angle bisectors of ΔABC\Delta ABC form a right-angled triangle. If the right-angle is at XX , where AXAX is the bisector of ∠A\angle A , find all possible values for ∠A\angle A .
Plain-text mathematical notation (without MathML)
The feet of the angle bisectors of ΔABC form a right-angled triangle. If the right-angle is at X , where AX is the bisector of ∠A , find all possible values for ∠A .
Original LaTeX notation
The feet of the angle bisectors of $\Delta ABC$ form a right-angled triangle. If the right-angle is at $X$ , where $AX$ is the bisector of $\angle A$ , find all possible values for $\angle A$ .

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Source and history

task_id
7d09026f-42cf-58f2-8576-d921a84e16a0
task_key
test--7d09026f-42cf-58f2-8576-d921a84e16a0
task_revision_id
1
config / split
/ test

Official source

initial import