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Prove that the area of right angled triangle of given hypotenuse is maximum when the triangle is isoceles.
cbse
class12
modelpaper
2012
sec-c
q24
math
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asked
Jan 21, 2013
by
thanvigandhi_1
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Prove that the area of a right-angled triangle of given hypotenuse is maximum when it is isosceles.
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A point on the hypotenuse of a right-angled triangle is at distances a and b from the sides. Show that length of the hypotenuse is at least \( (a^{\large\frac{2}{3}}+b^{\large\frac{2}{3}})^{\large\frac{3}{2}} \)
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Prove that the area of right-angled traingle of a given hypotenuse is maximum when the triangle is isosceles.
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