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
16
16
20
20
4
To solve this problem, we can use the concept of similar triangles.
In similar triangles, the ratio of the lengths of corresponding sides is constant.
In the given triangle, the ratios of the lengths of the sides are 3:4:5.
Let x be the length of the shortest side of the similar triangle.
Since the longest side of the similar triangle is 20, the ratio of the lengths of the sides is x:20.
So, we can set up the equation:
3/20 = x/5
Cross-multiplying, we get:
3*5 = 20*x
15 = 20x
Dividing both sides by 20, we get:
x = 15/20
Simplifying, we get:
x = 3/4
Therefore, the length of the shortest side of the similar triangle is 3/4.
The correct answer is 4.