Mathematics - Properties of Triangle Question with Solution | TestHub

MathematicsProperties of TriangleOrthocentre, pedal triangle basedMedium2 minQB
MathematicsMediumsingle choice

If x,y,z are distances of vertices A,B,C from orthocenter H in an acute-angled triangle ABC, find x+y+z.

Options:

Answer:
A
Solution:

For an acute triangle, AH=2R cos A etc. and A=1+r/R, so x+y+z=2(R+r).

Stream:JEESubject:MathematicsTopic:Properties of TriangleSubtopic:Orthocentre, pedal triangle based
⏱ 2mℹ️ Source: QB

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