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Let ABC be a triangle in which the line ...

Let ABC be a triangle in which the line joining the circumecentre and incentre is parallel to base BC of the triangle. Then answer the following questions :
If `angleA=60^(@)`, then `Delta ABC` is

A

isoceles

B

right angled

C

right angled isosceles

D

equilateral

Text Solution

Verified by Experts

The correct Answer is:
D
`because (r )/(R )=cos A =(1)/(2)`
`because A = 60^(@)` but `(r )/(R )le (1)/(2)` in any `Delta ABC`
Hence, `Delta` is equilateral
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