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One of the legs of a right triangle measures 6 cm and its hypotenuse measures 7 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.

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Final answer:

To find the length of the other leg in a right triangle, we can use the Pythagorean theorem. In this case, when one leg measures 6 cm and the hypotenuse measures 7 cm, the other leg is approximately 3.6 cm.

Step-by-step explanation:

The Pythagorean theorem relates the lengths of the legs and hypotenuse of a right triangle. The relationship is given by the equation: a² + b² = c², where a and b are the lengths of the legs and c is the length of the hypotenuse. To find the length of the other leg in this case, we can substitute the given values: a = 6 cm and c = 7 cm. Solving for b, we have:

6² + b² = 7²

36 + b² = 49

b² = 49 - 36

b = √13 ≈ 3.6 cm

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