Find the maximum area of isoceles triangle inscrib

Question

Find the maximum area of isoceles triangle inscribed in the ellipse x^2/a^2 + y^2/b^2 =1 with its vertex at one end of major axis ?( Please give a detailed explanation about how we use cosine and sines to form the equation as i am not getting that part . )Thankyou

Ravi · Accepted Answer

Take x and y in the polar form of the ellipse. Assume the vertiecs of the triangle on the elliipse. If I have the apex of the isoceles triangle in the x axis, the two equal sides of the triangle will extend to the either Ist and 4thOR 2ndand 3rd quadrant. Accordingly, name the coordinates polarity and find the area of the triangle using cartesian coordinates as you have coordinates of all the three vertices. Then substitute the x and y with their polar eqns as done in the first step. Then using the application of derivatives, find the maxima value using 2ndorder differentiation test.

Differential Calculus> Find the maximum area of isoceles triangl...

Find the maximum area of isoceles triangle inscribed in the ellipse x^2/a^2 + y^2/b^2 =1 with its vertex at one end of major axis ?( Please give a detailed explanation about how we use cosine and sines to form the equation as i am not getting that part . )
Thankyou

Syed Misbahuddin Husain , 11 Years ago

Ravi

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Differential Calculus> Find the maximum area of isoceles triangl...

Find the maximum area of isoceles triangle inscribed in the ellipse x^2/a^2 + y^2/b^2 =1 with its vertex at one end of major axis ?( Please give a detailed explanation about how we use cosine and sines to form the equation as i am not getting that part . )Thankyou

Syed Misbahuddin Husain , 11 Years ago

Ravi

LIVE ONLINE CLASSES

Other Related Questions on differential calculus

the diameter of a roller is 84 cm and its length is 120 cm. it takes 500 complete revolution to move once over to level a playground. find the area of the playground in square m?

differential calculus

Find dy/DX when y=x^sinx+sin-1√x. Please give me the solution of this problem.

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differential calculus

Find the maximum area of isoceles triangle inscribed in the ellipse x^2/a^2 + y^2/b^2 =1 with its vertex at one end of major axis ?( Please give a detailed explanation about how we use cosine and sines to form the equation as i am not getting that part . )
Thankyou

Find dy/DX when y=x^sinx+sin-1√x.

Please give me the solution of this problem.

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where A + B + C = T
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