In a 7:24:25 triangle, which side corresponds to the longest side?

In a 7:24:25 triangle, which side corresponds to the longest side?

• A. The side of ratio 7
• B. The side of ratio 24
• C. The side of ratio 25
• D. The side of ratio 1

Answer: (C)

In a triangle described by the ratios 7:24:25, the longest side corresponds to the largest number in the ratio. This is based on the principle that in any triangle, the side lengths are proportional to the ratios given. The ratios here can be thought of as the relative lengths of each side, with 25 being greater than both 7 and 24. Thus, the side associated with the ratio of 25 is the longest side of the triangle. This understanding is key in determining side lengths in relation to each other using ratios. The other sides, associated with the ratios of 7 and 24, are shorter relative to the side of ratio 25, confirming that it is indeed the longest side.

In a triangle described by the ratios 7:24:25, the longest side corresponds to the largest number in the ratio. This is based on the principle that in any triangle, the side lengths are proportional to the ratios given. The ratios here can be thought of as the relative lengths of each side, with 25 being greater than both 7 and 24. Thus, the side associated with the ratio of 25 is the longest side of the triangle. This understanding is key in determining side lengths in relation to each other using ratios. The other sides, associated with the ratios of 7 and 24, are shorter relative to the side of ratio 25, confirming that it is indeed the longest side.