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Let a,b,c be the sides BC, CA, AB of Del...

Let a,b,c be the sides BC, CA, AB of `DeltaABC` on xy plane. If abscissa and ordinate of vertices of the triangle are integers and R is the circumradius, then 2R can be equal to

A

`(8)/(9)abc`

B

abc

C

`(9)/(8)abc`

D

`(abc)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
A, B, D
Area of `Delta ABC`
`Delta = (abc)/(4R)`

Since all points are integral, the least area is `(1)/(2)` sq. units as shown in above figure.
`therefore Delta ge (1)/(2)`
`therefore 2R le abc`
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