What will be the solution of the mentioned problem??
If,A+B+C=piandcotA+cotB+cotC=sqrt3,If,A+B+C=πandcotA+cotB+cotC=√3,
then show that,color(blue)(A=B=C).A=B=C.
then show that,
1 Answer
Jan 12, 2018
We can show it in the following way.
Given
- First assumption: We are discussing three angles
A,B and CA,BandC of a triangle. - If
A=B=C=>DeltaABC is an equilateral triangle. - All angles of an equilateral triangle are equal and each
=60^@
Now
cotA+cotB+cotC=cot60^@+cot60^@+cot60^@
=3cot60^@=3xx1/sqrt3=sqrt3
Which is= RHS of the given equation.
Hence our assumption and its following results are true.
Hence proved.