Maritza draws to similar right triangles is the longest side of the larger triangle measures 21 cm and the shortest side of the triangle measures 14 cm. 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 use the property of similar triangles where the corresponding sides are in proportion.

Let the shortest side of the smaller triangle be x.

Therefore, we can set up a proportion with the corresponding sides of the two triangles:

21/15 = 14/x

Cross multiply to solve for x:

21x = 15 * 14
21x = 210
x = 210 / 21
x = 10

Therefore, the length of the shortest side of the smaller triangle is 10 cm.