Mathematics - Properties of Triangle Question with Solution | TestHub

MathematicsProperties of TriangleOrthocentre, pedal triangle basedMedium2 minQB

MathematicsMediummultiple choice

If the orthocenter of an isosceles triangle lies on the incircle of the triangle then

Answer:

A, B, C, D

Solution:

Let $A BC$ be the triangle in which $A B = A C$ . Let $I, P$ respectively be the incenter and the orthocenter of the triangle.

$A I = rcosec \frac{A}{2}$ , $A P = 2 R cos A$

$rcosec \frac{A}{2} = 2 R cos A + r$

Stream:JEESubject:MathematicsTopic:Properties of TriangleSubtopic:Orthocentre, pedal triangle based

⏱ 2mℹ️ Source: QB

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