In a right triangle, one leg measures $6$ units and the other leg measures $8$ units. Find the length of the hypotenuse. If necessary, round to the nearest tenth.

• A. $12$ units
• B. $7$ units
• C. $9.2$ units
• D. $10$ units

Answer: (D)

Verified step by step guidance

1. Identify the given sides of the right triangle: one leg is 6 units and the other leg is 8 units.
2. Recall the Pythagorean theorem, which relates the legs and hypotenuse of a right triangle: \(c^2 = a^2 + b^2\), where \(c\) is the hypotenuse and \(a\), \(b\) are the legs.
3. Substitute the known values into the formula: \(c^2 = 6^2 + 8^2\).
4. Calculate the squares of the legs: \$6^2 = 36\( and \)8^2 = 64\(, then add them: \)36 + 64$.
5. Take the square root of the sum to find the hypotenuse length: \(c = \sqrt{36 + 64}\).