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

To determine the length of TE, we need to set up a proportion using the given information.

The ratio of the corresponding sides in similar triangles is equal. So, we can set up the proportion:

LA/AK = EN/TE

Substituting the given values:

8/5 = 125/TE

Cross-multiplying, we get:

8TE = 5 * 125

8TE = 625

Dividing both sides by 8:

TE = 625/8

TE ≈ 78.125

Therefore, the length of TE is approximately 78.
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