Mathematics - Properties of Triangle Question with Solution | TestHub
MathematicsProperties of TriangleOrthocentre, pedal triangle basedMedium2 minQB
MathematicsMediumsingle choice
H is the orthocenter of an acute triangle ABC whose circumcircle is +=16. Find the circumdiameter of triangle HBC.
Options:
Answer:
D
Solution:
The given circle has circumradius R=4. In the orthocentric configuration, the circumcircle of HBC has the same radius R as ABC: HC=2R cos C and =90°-C, so 2R_HBC=HC/sin(90°-C)=2R=8.
Stream:JEESubject:MathematicsTopic:Properties of TriangleSubtopic:Orthocentre, pedal triangle based
⏱ 2mℹ️ Source: QB
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