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.(1 point)
Responses
12
12
20
20
16
16
4
4
To solve this problem, we can use the property of similar triangles that states corresponding sides of similar triangles are proportional.
Let's set up a proportion using the given information:
\( \frac{x}{20} = \frac{3}{5} \), where x represents the length of the shortest side of the similar triangle.
To solve for x, we can cross-multiply and solve for x:
\( 5x = 3 \times 20 \)
\( 5x = 60 \)
\( x = \frac{60}{5} \)
\( x = 12 \)
Therefore, the length of the shortest side of the similar triangle is 12.