Question
If triangle ABC is similar to triangle DEF and AB = 16; DF = 3 and AC = 12 what is the length of DE? (1 point) 07 O 2.25 04 O 64
Answers
GPT 3.5
To find the length of DE, we need to determine the ratio of the corresponding sides of triangle ABC and triangle DEF.
Since triangle ABC is similar to triangle DEF, the corresponding sides are in proportion.
The ratio of AB to DF can be written as AB/DF = AC/DE.
Plugging in the given values, we get 16/3 = 12/DE.
To find DE, we can cross multiply and solve for DE.
16 * DE = 3 * 12.
16DE = 36.
Dividing both sides by 16, we get DE = 36/16 = 2.25.
Therefore, the length of DE is 2.25.
Since triangle ABC is similar to triangle DEF, the corresponding sides are in proportion.
The ratio of AB to DF can be written as AB/DF = AC/DE.
Plugging in the given values, we get 16/3 = 12/DE.
To find DE, we can cross multiply and solve for DE.
16 * DE = 3 * 12.
16DE = 36.
Dividing both sides by 16, we get DE = 36/16 = 2.25.
Therefore, the length of DE is 2.25.