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)
04
O 20
16
O 12
To find the length of the shortest side of a similar triangle, we can set up a proportion using the ratios of corresponding sides. Let's call the length of the shortest side of the similar triangle as x.
The ratio of the longest sides of the two similar triangles is given by: 20/x = 5/3
To solve for x, we can cross multiply: 20 * 3 = 5 * x
Simplifying the equation: 60 = 5x
Dividing both sides by 5: x = 12
Therefore, the length of the shortest side of the similar triangle with a longest side of 20 is 12.