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The circles having radii r1 and r2 intersect orthogonally. Length of their common chord is The circles having radii r1 and r2 intersect orthogonally. Length of their common chord is
Two circles intersect orthogonally means r1 through point of contact makes right angle with r2 through that pointso the line intersecting has lenghtcommon chord length = hby equating area of triangle formed in 2 different wayArun KumarIIT DelhiAskiitians Faculty
you can solve this by using cosine formula in resulting triangleif abc is a triangle thenC*2=A*2+B*2-2ABcosmwhere m is angle between sides opposite to angle c.
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