Find the hypotenuse if legs are 4 and 5.

To solve this problem, we use the Pythagorean theorem, according to which in a right-angled triangle the square of the hypotenuse is equal to the sum of the squares of the legs.

Let’s say the hypotenuse is x. Then:

x ^ 2 = 4 ^ 2 + 5 ^ 2;

x ^ 2 = 16 + 25;

x ^ 2 = 41;

x = √41.

Answer: The hypotenuse is √41.



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