If ΔABC is similar to ΔDEF , and AB= 16, DF= 3, and AC= 12, what is the length of DE ?

Question

(1 point)
Responses

2.25
2.25

7
7

64
64

4

Answer 1

To find the length of DE, we can use the ratio of corresponding side lengths in similar triangles.

Since AB is corresponding to DE and AC is corresponding to DF, we can set up the proportion:

AB/DE = AC/DF

Substituting the given values:

16/DE = 12/3

Cross-multiplying:

4DE = 36

Dividing both sides by 4:

DE = 9

Therefore, the length of DE is 9.

Answer 2

pick the anwsers i give you

Answer 3

Sure, based on the options provided, the correct answer would be:

7

Answer 4

Triangle NTE is similar to triangle KLA . If LA= 8, EN= 125, and AK= 5, what is the length of TE ?

(1 point)
Responses

25
25

78
78

100
100

200

Answer 5

To find the length of TE, we can use the ratio of corresponding side lengths in similar triangles.

Since LA is corresponding to TE and AK is corresponding to EN, we can set up the proportion:

LA/TE = AK/EN

Substituting the given values:

8/TE = 5/125

Cross-multiplying:

5TE = 8 * 125

5TE = 1000

Dividing both sides by 5:

TE = 200

Therefore, the length of TE is 200.