Three sides of a triangle measure 3, 4, and 5. Solve for the length of the shortest side of a similar triangle whose longest side has a length of 20.

12
4
16
20

1 answer

To solve this problem, we can set up a proportion between the sides of the two triangles.

Let x be the length of the shortest side of the similar triangle.

According to the proportion:

\( \frac{3}{x} = \frac{5}{20} \)

Cross-multiplying, we have:

3 * 20 = 5 * x

60 = 5x

Dividing both sides by 5, we get:

x = 12

Therefore, the length of the shortest side of the similar triangle is 12.