In a isosceles right triangle, if the hypotenuse is 5√2cm, then find the length of the sides of the triangle.
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In a right angle triangle, Pythagoras theorem can be applied. Let's say the three sides are x,y,z where z is the hypotenuse. As it is also an isoceles triangle, x=y, so the sides are x,x,z.
Using the theorem: x^2+x^2=z^2.
=> 2x^2=(5root2)^2
=>2x^2=50
=>x^2=25
=>x=5
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