From the condition we know the lengths of the legs of a right triangle are 18 and 24. We need to find the hypotenuse of a right triangle.
To do this, we apply the Pythagorean theorem, which says that the square of the hypotenuse is equal to the sum of the squares of the legs.
a ^ 2 + b ^ 2 = c ^ 2;
It remains for us to substitute the known values and calculate.
18 ^ 2 + 24 ^ 2 = c ^ 2;
324 + 576 = c ^ 2;
c ^ 2 = 900;
Let’s extract the square root and get (only a positive value is suitable for us):
c = √900 = √302;
c = 30.
Answer: The length of the hypotenuse is 30.
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