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A B C is an equilateral triangle of side...

`A B C` is an equilateral triangle of side `4c mdot` If `R ,r and h` are the circumradius, inradius, and altitude, respectively, then `(R+r)/h` is equal to

A

4

B

2

C

1

D

3

Text Solution

Verified by Experts

The correct Answer is:
C
In equilateral triangle, circumcenter (O) and incenter (I) coincide

Also from the diagram,
`R + r = h " or " (R +r)/(h) = 1`
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CENGAGE-PROPERTIES AND SOLUTIONS OF TRIANGLE-Exercise (Single)
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  11. In triangle ABC, line joining the circumcenter and orthocenter is para...

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  12. In triangle A B C ,/C=(2pi)/3 and C D is the internal angle bisector o...

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  13. In the given figure DeltaABC is equilateral on side AB produced. We ch...

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  14. A variable triangle A B C is circumscribed about a fixed circle of uni...

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  15. In Delta ABC, if a = 10 and b cot B + c cot C = 2(r + R) then the maxi...

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  16. Let C be incircle of DeltaABC. If the tangents of lengths t(1),t(2) an...

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  17. A park is in the form of a rectangle 120 mx100 mdot At the centre of t...

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  18. In triangle ABC, if r(1) = 2r(2) = 3r(3), then a : b is equal to

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  19. If in a triangle, (1-(r(1))/(r(2))) (1 - (r(1))/(r(3))) = 2, then the ...

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  20. If in a triangle (r)/(r(1)) = (r(2))/(r(3)), then

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