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Omni-MATH / Let ABC be a triangle in which (BLis the angle bisector of ∠ABC (L∈AC), AH is an altitude ofvartriangle ABC (H∈BC) and Mis the midpoint of the side AB. It is known that the midpoin…

Problem

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problem

Let ABCABC be a triangle in which (BL{BL}is the angle bisector of ∠ABC{\angle{ABC}} (L∈AC)\left( L\in AC \right), AH{AH} is an altitude of$\vartriangle ABC$ (H∈BC)\left( H\in BC \right) and M{M}is the midpoint of the side AB{AB}. It is known that the midpoints of the segments BL{BL} and MH{MH} coincides. Determine the internal angles of triangle $\vartriangle ABC$.
Plain-text mathematical notation (without MathML)
Let ABC be a triangle in which (BLis the angle bisector of ∠ABC (L∈AC), AH is an altitude of$\vartriangle ABC$ (H∈BC) and Mis the midpoint of the side AB. It is known  that the midpoints of the segments BL and MH coincides. Determine the internal angles of triangle $\vartriangle ABC$.
Original LaTeX notation
Let $ABC$ be a triangle in which (${BL}$is the angle bisector of ${\angle{ABC}}$ $\left( L\in AC \right)$, ${AH}$ is an altitude of$\vartriangle ABC$ $\left( H\in BC \right)$ and ${M}$is the midpoint of the side ${AB}$. It is known  that the midpoints of the segments ${BL}$ and ${MH}$ coincides. Determine the internal angles of triangle $\vartriangle ABC$.

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Source and history

task_id
e4ece658-c9b5-557d-a7a4-54cdbb519b97
task_key
test--e4ece658-c9b5-557d-a7a4-54cdbb519b97
task_revision_id
1
config / split
/ test

Official source

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