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A point on the hypotenuse of a triangle is at distance a and b from the sides of the triangle. Show that the minimum length of hypotenuse is \( \bigg[ a^{\large\frac{2}{3}} + b^{\large\frac{2}{3}} \bigg]^{\large\frac{3}{2}} \).
cbse
class12
modelpaper
2012
sec-c
q24
math
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asked
Jan 22, 2013
by
thanvigandhi_1
edited
Jul 23, 2013
by
sreemathi.v
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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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Jan 26, 2013
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Dec 24, 2012
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Dec 29, 2012
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1
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A point on the hypotenuse of a triangle is at distance \(a\) and \(b\) from the sides of the triangle.Show that the maximum length of the hypotenuse is $ (a^{\large\frac{2}{3}} + $$b^{\large\frac{2}{3}})^{\Large\frac{3}{2}}$
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Nov 28, 2012
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Find the equation of the line through the point ( 3, 4 ) which cuts from the first quadrant a triangle of minimum area.
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