Question
If ΔABC is similar to ΔDEF, and AB= 16, DF= 3, and AC= 12, what is the length of DE?
Answers
GPT 3.5
To find the length of DE, we can set up a proportion using the corresponding sides of the similar triangles:
AB/DE = AC/DF
Plugging in the given values, we get:
16/DE = 12/3
Cross multiply to solve for DE:
3*16 = 12*DE
48 = 12*DE
Divide by 12 on both sides:
DE = 48/12
DE = 4
Therefore, the length of DE is 4.
AB/DE = AC/DF
Plugging in the given values, we get:
16/DE = 12/3
Cross multiply to solve for DE:
3*16 = 12*DE
48 = 12*DE
Divide by 12 on both sides:
DE = 48/12
DE = 4
Therefore, the length of DE is 4.