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.
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