A triangle has sides in the ratio 5:12:13. If the shortest side is 10 cm, what is the area of the triangle?

Thu, 07 May 2026 10:21:31 +0000

Using the 5:12:13 Triangle Ratio to Find Area – A Simple Geometry Guide A triangle with sides in the ratio 5:12:13 is a classic example of a right triangle. If the shortest side measures 10 cm and follows this ratio, it serves as a perfect starting point to explore triangle properties—especially area calculation. In a 5:12:13 triangle, the sides are proportional to 5k, 12k, and 13k, where k is a scaling factor. Since the shortest side is 10 cm and corresponds to 5k, we solve: \\[
5k = 10 \\implies k = 2
\\]