MathDB

2014.10.4

Part of Kyiv City MO Seniors 2003+ geometry

Problems(1)

equal segments from projections, altitudes related (2014 Kyiv City MO 10.4)

Source:

8/6/2020
The altitueds AA1A {{A} _ {1}} , BB1B {{B} _ {1}} and CC1C {C} _ 1 are drawn in the acute triangle ABCABC. . The perpendicular AKAK is drawn from the vertex AA on the line A1B1{{A} _ {1}} {{B} _ {1}}, and the perpendicular BLBL is drawn from the vertex BB on the line C1B1{{C} _ {1}} {{B} _ {1}}. Prove that A1K=B1L{{A} _ {1}} K = {{B} _ {1}} L.
(Maria Rozhkova)
geometryequal segmentsaltitudes