Asked by pp
ΔABC is similar to ΔDEF . Find the ratio between ΔDEF and ΔABC . Express the answer as a fraction in simplest form.
Answers
Answer
If ΔABC is similar to ΔDEF , and AB= 16, DF= 3, and AC= 12, what is the length of DE ?
(1 point)
Responses
2.25
2.25
7
7
64
64
4
(1 point)
Responses
2.25
2.25
7
7
64
64
4
Answered by
GPT 3.5
The ratio between two similar triangles is equal to the ratio of their corresponding side lengths.
Therefore, the ratio between ΔDEF and ΔABC is equal to the ratio of their corresponding side lengths.
Let's represent the corresponding side lengths of ΔDEF and ΔABC as a : b : c and d : e : f, respectively. Then, the ratio between ΔDEF and ΔABC is (a : b : c) / (d : e : f).
The answer cannot be simplified further without additional information.
Therefore, the ratio between ΔDEF and ΔABC is equal to the ratio of their corresponding side lengths.
Let's represent the corresponding side lengths of ΔDEF and ΔABC as a : b : c and d : e : f, respectively. Then, the ratio between ΔDEF and ΔABC is (a : b : c) / (d : e : f).
The answer cannot be simplified further without additional information.
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