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An equilateral triangle is inscribed in a circle of radius 6cm. Find its side.

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To find the side length of an equilateral triangle inscribed in a circle of radius 6 cm, we can follow these steps: ### Step 1: Understand the Geometry An equilateral triangle inscribed in a circle means that all its vertices touch the circle. Let’s denote the vertices of the triangle as A, B, and C, and the center of the circle as O. Since the triangle is equilateral, all sides are equal. ### Step 2: Draw the Radius Since the radius of the circle is 6 cm, we have: - OA = OB = OC = 6 cm (where O is the center of the circle and A, B, C are the vertices of the triangle). ...
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RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS-All Questions
  1. Prove that: (cos30^0+sin60^0)/(1+cos60^0+sin30^0)=(sqrt(3))/2

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  2. Find the value of theta in each of the following: (i)2sin2theta=sqrt...

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  3. An equilateral triangle is inscribed in a circle of radius 6cm. Find ...

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  4. If tanA=1 and tanB=sqrt(3),e v a l u a t ecosAcosB-sinAsinBdot

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  5. Evaluate each of the following: cos(40^0-theta)-sin(50^0+theta)+(cos^2...

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  6. If s e c4A=cos e c(A-20^@) , where 4A is an acute angle, find the ...

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  7. Evaluate each of the following: (a) cos(40^0-theta)-sin(50^0+theta)...

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  8. Evaluate : 4(sin^4 30^0+cos^4 60^0)-2/3(sin^2 60^0-cos^2 45^0)+1/2tan...

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  9. Evaluate : (sin50^0)/(cos40^0)+(cos e c40^0)/(sec50^0)-4cos50^0cos e ...

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  10. Evaluate : tan35^0tan40^0tan45^0tan50^0tan55^0

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  11. Evaluate : cos e c(65^0+theta)-sec(25^0-theta)-tan(55^0-theta)+cot(...

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  12. Evaluate : tan7^0tan23^0tan60^0tan67^0tan83^0

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  13. Evaluate : (2sin68^0)/(cos22^0)-(2cot15^0)/(5tan75^0)-(3tan45^0tan20^...

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  14. Evaluate : ((3cos55^0) / (7sin35^0))-(4/7)(cos70^0cos e c20^0)/(tan5^0...

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  15. Prove the following: (cos(90^0-theta)sec(90^0-theta)t a ntheta)/(cosec...

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  16. Prove the following: (tan(90^0-A)cotA)/(cos e c^2A)-cos^2A=0

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  17. Prove the following: sinthetasin(90^0-theta)-costhetacos(90^0-theta)=...

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  18. In a /\A B C , right angled at B , if A B=4 and B C=3 , find all t...

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  19. In a /\A B C , right angled at B , if A B=12 and B C=5 , find: (i) ...

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  20. If sinA=3/5 , find cosA and tanA .

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