If r1 = r + r2 + r3 then prove that the triangle is a right angled triangle.

Dear Student,
Dear Student,
Dear Student,
r1=r+r2+r3s-a=s+s-b+s-c1s-a-1s=1s-b+1s-cass-a= 2s-b-cs-bs-cass-a= a+b+c-b-cs-bs-c1ss-a=1s-bs-cs2-sb+c+bc= s2-assa-b-c+bc=0 a+b+c2a-b-c= -bca2-b+c2= -2bca2-b2-c2-2bc=-2bca2= b2+c2So it is a right angle triangle
Regards


 

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