Question

If in a triangle abc, sin a, sin b, sin c are in ap. Then their altitudes are in

Answer 1

Answer:

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Step-by-step explanation:

HP...

Reason:- The altitude passing through the Corner A is 2*area/a where the same is equal to area/(R*sinA)... Similarly, the other altitudes are area/(R*sinB) and area/(R*sinC)... So altitudes are inversely proportional to sine of the angles for a given triangle... Thats why if sine of angles are in AP the altitudes are in HP..