Prove that the area of an isosceles right triangle is one-fourth the square of the length of the hypotenuse.

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asked Sep 24, 2018 235k views

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Tomislav Markovski · Answer 1 · 2018-09-28T08:30:29+0000

if s is the isosceles side length, s^2/2 is the area(half base times height).
the hypotenuse is s.sqrt(2) by Pythagoras' theorem. so square it and divide by 4 to get the same

Prove that the area of an isosceles right triangle is one-fourth the square of the length of the hypotenuse.

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