a^2 + b^2 = c^2
a and b are the distances for the side of the triangle and c is the hypotenuse(long side)
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The circumcenter is always on the midpoint of the hypotenuse when it is in a right triangle.
Only at the midpoint of the hypotenuse.
Simply by measuring it. Or by drawing a circle with a radius of half the hypotenuse and having the vertex of the right angle as its centre and if the midpoint of the hypotenuse just touches the circle then this proves it.
Only a right triangle has a hypotenuse. An isosceles triangle can be a right triangle but it doesn't have to be. If it's not, then it doesn't have a hypotenuse.
The hypotenuse of right triangle of 300Cm and 400Cm is: 500 cm