Q17 of 25 Page 627

If in a ∆ABC, ∠C = 900, then prove that .

Given: ∠C = 900


Need to prove:


Here, ∠C = 900 ; sinC = 1


So, it is a Right-angled triangle.


And also, a2 + b2 = c2


Now,



We know that, where R is the circumradius.


Therefore,


[As, sinC = 1]





Therefore,


⇒


⇒ [Proved]


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