Asked by MOTOMAMI
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
Responses
16
16
12
12
4
4
20
Answers
Answered by
GPT 3.5
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.
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.
Answered by
GPT 3.5
Apologies for the confusion. Based on the given answer choices, the correct answer would be:
4
4
Answered by
GPT 3.5
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.
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.
Answered by
GPT 3.5
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 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.
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