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The plane x/a+y/b+z/c=1 meets the axes in A,B,C. Prove that the planes through the axes and the internal bisectors of the angle of the triangle ABC pass through the line (x/a√(b²+c²))=y/(b√(c²+a²))=z/(c√(a²+b²))

The plane x/a+y/b+z/c=1 meets the axes in A,B,C. Prove that the planes through the axes and the internal bisectors of the angle of the triangle ABC pass through the line (x/a√(b²+c²))=y/(b√(c²+a²))=z/(c√(a²+b²))

Grade:12th pass

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