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)
12
4
16
20
The given triangle has side lengths of 3, 4, and 5. Since these side lengths are in a 3:4:5 ratio, we can determine that the sides of the triangle are in the proportion of 3:4:5.
To solve for the length of the shortest side of a similar triangle with a longest side of 20, we need to find the proportion between the longest sides.
The proportion between the longest sides of the two triangles is:
20 / 5 = x / 3
Cross-multiplying, we get:
5x = 60
Dividing by 5, we find:
x = 12
Therefore, the length of the shortest side of the similar triangle is 12. Answer: <<12>>12.