From the condition, we know the lengths of the legs of a right-angled triangle are 30 and 16. We need to find the hypotenuse of a right-angled 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.
30 ^ 2 + 16 ^ 2 = c ^ 2;
900 + 256 = c ^ 2;
c ^ 2 = 1156;
Let’s take the square root and get (we only need a positive value):
c = √1156 = √342;
c = 34.
Answer: The length of the hypotenuse is 34.
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