If (a + b + c + d) : (a + b − c − d) = (a − b + c − d) : (a − b − c + d), prove that a : b = c : d.
Ratio Proportion
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Question

If (a + b + c + d) : (a + b − c − d) = (a − b + c − d) : (a − b − c + d), prove that a : b = c : d.

KnowledgeBoat · Accepted Answer

Given, Applying componendo and dividendo, we get : Applying componendo and dividendo again: Hence, proved that a : b = c : d.

Mathematics