Answer :
The approximate length of the hypotenuse of the right triangle is 15.85 inches.
To find the approximate length of the hypotenuse of a right triangle using the Pythagorean theorem, we can use the formula: c² = a² + b², where c represents the length of the hypotenuse, and a and b represent the lengths of the legs.
In this case, the lengths of the legs are given as 10.1 inches and 12.2 inches.
Using the formula, we can calculate the length of the hypotenuse as follows:
c² = (10.1)² + (12.2)²
c² = 102.01 + 148.84
c² = 250.85
To find the approximate length of the hypotenuse, we take the square root of both sides of the equation:
c ≈ √250.85
Using a calculator, we find that the square root of 250.85 is approximately 15.85.
Therefore, the approximate length of the hypotenuse is 15.85 inches.
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