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
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.
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7
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
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.