If rr3=r1r2 then show that angle c= 90 degree
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Answer:
1
=r
2
+r
3
+r⟹r
1
−r=r
2
+r
3
⟹sin
2
A
cos
2
B
cos
2
C
−sin
2
A
sin
2
B
sin
2
C
=sin
2
B
cos
2
A
cos
2
C
−sin
2
C
cos
2
A
cos
2
B
⟹sin
2
A
(cos
2
B
cos
2
C
−sin
2
B
sin
2
C
)=cos
2
A
(sin
2
B
cos
2
C
−sin
2
C
cos
2
B
)
⟹sin
2
A
cos
2
(B+C)
=cos
2
A
sin
2
(B+C)
⟹tan
2
A
=tan
2
(B+C)
⟹A=B+C⟹2A=180
∘
⟹A=90
∘
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