Maritza shows two similar right triangles. the longest side of the larger triangle easures 21 cm, and the shortest side of that triangle measures 14cm. the longest side of the smaller triangle measures 15 cm. what is the length of the shortest side of the smaller triangle?
To find the length of the shortest side of the smaller triangle, we can set up a proportion using the ratios of the corresponding sides of the two similar triangles.
Let x be the length of the shortest side of the smaller triangle.
We can set up the following proportion:
(15 cm) / (x) = (21 cm) / (14 cm)
Cross multiply to solve for x:
15 * 14 = 21 * x
210 = 21x
x = 10
Therefore, the length of the shortest side of the smaller triangle is 10 cm.