Triangle NTE is similar to triangle KLA. If LA-8, EN 125, and AK 5, what is the length of TE?
78
100
25
200
We can use the proportionality of corresponding sides in similar triangles to find the length of TE.
According to the given information, LA is 8 and AK is 5.
Since triangle NTE is similar to triangle KLA, we can write the following proportion:
LA/AK = TE/EN
Substituting the given values, we have:
8/5 = TE/125
Cross multiplying, we get:
5 * TE = 8 * 125
5 * TE = 1000
Dividing both sides by 5, we find:
TE = 1000/5 = <<1000/5=200>>200.
Therefore, the length of TE is 200. Answer: \boxed{200}.