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In triangle A B C ,a : b : c=4:5: 6. The...

In triangle `A B C ,a : b : c=4:5: 6.` The ratio of the radius of the circumcircle to that of the incircle is____.

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To find the ratio of the radius of the circumcircle (R) to that of the incircle (r) in triangle ABC where the sides are in the ratio \( a : b : c = 4 : 5 : 6 \), we can follow these steps: ### Step 1: Assign the sides of the triangle Let the sides of the triangle be: - \( a = 4k \) - \( b = 5k \) - \( c = 6k \) ...
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CENGAGE ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. In any /\ A B C , prove that (b^2-c^2)cotA+(c^2-a^2)cotB+(c^a-b^2)cot...

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  2. In triangle ABC, angle A is greater than angle B. If the measure of an...

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  3. In triangle A B C ,a : b : c=4:5: 6. The ratio of the radius of the ci...

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  4. The set of all real numbers a such that a^2+2a ,2a+3,a n da^2+3a+8 are...

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  5. A B C is a triangle with /B greater than /C ,Da n dE are points on B C...

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  6. A polygon of nine sides, each side of length 2, is inscribed in a c...

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  7. In triangle A B C , if cotA ,cotB ,cotC are in AdotPdot, then a^2,b^2,...

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  8. If in a triangleA B C , (2cosA)/a+(cos B)/b+(2cosC)/c=a/(b c)+b/(c a) ...

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  9. If the angles of a triangle are 30^0a n d45^0 and the included side is...

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  10. A circle is inscribed in an equilateral triangle of side adot The area...

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  11. In triangle A B C ,A D is the altitude from Adot If b > c ,/C=23^0,a n...

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  12. If D is the mid-point of the side B C of triangle A B C and A D is per...

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  13. In A B C ,A(2pi)/3,b-c=3sqrt(3)c m and area of A B C=(9sqrt(3))/2c m...

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  14. The general value of theta satisfying the equation tan^2theta+sec2thet...

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  15. In any triangle A B C ,(a^2+b^2+c^2)/(R^2) has the maximum value of 3 ...

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  16. Solve sqrt(5-2 sin x)=6 sin x-1

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  17. In triangle A B C ,R(b+c)=asqrt(b c),where R is the circumradius of th...

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  18. Solve sin^3thetacostheta-cos^3thetasintheta=1/4dot

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  19. In A B C ,P is an interior point such that /P A B=10^0/P B A=20^0,/P ...

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  20. Solve 4costheta-3sectheta=tantheta

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