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)

Question

12
4
16
20

Answer 1

To solve this problem, we can use the concept of similarity between the two triangles.

In a similar triangle, the ratios of corresponding sides are equal.

Let's set up the proportion:

(Length of shortest side of similar triangle) / (Length of shortest side of given triangle) = (Length of longest side of similar triangle) / (Length of longest side of given triangle)

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

Now, the proportion becomes:

x / 3 = 20 / 5

Simplifying the proportion:

x / 3 = 4

Multiplying both sides of the equation by 3 to solve for x:

x = 12

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

The correct answer is 12.