Maths-
General
Easy
Question
If a right-angled triangle has integer sides, then which of the following is necessarily an integer?
- Area
- Circumradius
- In-radius
- None of these
The correct answer is: In-radius
Let triangle be right-angled at C. Then area
gers. Again, in square ONCL, NC = OL = r. We have
c = AB = AM + BM = AL + BN
is even
Therefore, c is even and so (a + b) – c is even.
Therefore, c is odd and so (a + b) – c is even
So, in every case if a, b, c are integers, we have
integer
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