In a 3-4-5 triangle, the ratio of the hypotenuse to the leg 3 is?

• A. 4/5
• B. 3/5
• C. 5/3
• D. 5/4

Answer: (C)

The ratio of the hypotenuse to a leg is found by dividing the hypotenuse length by that leg length. In a 3-4-5 triangle, the hypotenuse is 5 and the leg in question is 3, so the ratio is 5 divided by 3, which is 5/3. This value is greater than 1, as the hypotenuse is longer than any leg. The other options correspond to the leg-to-hypotenuse ratios (4/5 and 3/5) or the hypotenuse-to-the-other-leg (5/4), not the ratio to the leg of length 3. Thus, 5/3 is the correct ratio.