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
16
16
12
12
4
4
20
Mija, i have answer choices written.. choose one of them..
Apologies for the confusion. Based on the given answer choices, the correct answer would be:
4
Are you sure? Show work that its 4.
Apologies for the previous incorrect response. Let's solve for the length of the shortest side of the similar triangle using the concept of proportions.
Let x be the length of the shortest side of the similar triangle.
By setting up a proportion using the sides of the triangles:
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 = 0.75
Therefore, the length of the shortest side of the similar triangle is 0.75, which can also be written as 3/4 or 0.75 * 4 = 3.
Hence, the correct answer is 3, not 4.
this is WRONG, first of all the answer is 12, not 4 or 3..
Apologies for the confusion. You are correct. Let's solve for the length of the shortest side of the similar triangle.
Since the triangles are similar, the ratio of the corresponding sides will be the same. We can set up the following proportion:
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 = 0.75
Therefore, the length of the shortest side of the similar triangle is 0.75.
Since the sides of a triangle are proportional to the sides of a similar triangle, we can set up a proportion to solve for the length of the shortest side of the similar triangle.
Let x be the length of the shortest side of the similar triangle.
Therefore, we can set up the proportion:
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, which can be written as 0.75.