roblem 43. Tal side the angle. C long to l₁ and 1₂ - which the area

Advanced Engineering Mathematics
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Problem 43. Take an angle between 2 rays 1₁ and 1₂ with vertex O and a point A
inside the angle. Consider all triangles with vertex O such that two sides of them
belong to l₁ and 12 and the third side I passes through A. Find the location of line 1
for which the area of the triangle is minimal. Hint: consider the parallelogram with
two sides in 1₁ and 12 and with center A and look how line / cuts this parallelogram.
Transcribed Image Text:Problem 43. Take an angle between 2 rays 1₁ and 1₂ with vertex O and a point A inside the angle. Consider all triangles with vertex O such that two sides of them belong to l₁ and 12 and the third side I passes through A. Find the location of line 1 for which the area of the triangle is minimal. Hint: consider the parallelogram with two sides in 1₁ and 12 and with center A and look how line / cuts this parallelogram.
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