What is the hypotenuse of a right-angled triangle with legs 10 centimeters and 24?

The length of the hypotenuse in a right triangle is determined by the Pythagorean theorem, which has many proofs. According to the theorem, the square of the hypotenuse is equal to the squares of the legs, that is:
c ^ 2 = a ^ 2 + b ^ 2, – where a and b are legs, and c is the hypotenuse.
c ^ 2 = 10 ^ 2 + 24 ^ 2 = 100 + 576 = 676.
c = √‾676 = 26.
Answer: the length of the hypotenuse is 26 cm.



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