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

1 answer

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}.
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