1.

In trangle ABC a4+b4+c4-2c2(a2+b2)=0 proove c=45 or135

Answer» Given condition can be written as

a^4+b^4+c^4-2c^2(a^2+b^2)+2a^2b^2=2a^2b^2

=>[(a^2+b^2-c^2)/(2ab)]^2==1/2

=>cos^2C=1/2

=>cosC=+1/√2 or -1/√2

Then C= 45° or135°


Discussion

No Comment Found

Related InterviewSolutions