Question 9
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 the hypotenuse is 2 2 3 3 3 2( )a b+ .
SOLUTION
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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 the hypotenuse is 2 2 3 3 3 2( )a b+ .