Final answer:
The hypotenuse of a right triangle with legs measuring 8 cm and 6 cm is found using the Pythagorean theorem, resulting in a length of 10 cm.
Step-by-step explanation:
To find the hypotenuse of a right triangle with legs measuring 8 cm and 6 cm, we use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b).
According to the theorem, we calculate the hypotenuse as follows:
c = √(a² + b²)
Using the given measures:
c = √(8² + 6²) = √(64 + 36) = √100
c = 10 cm
Therefore, the length of the hypotenuse of the given right triangle is 10 cm.