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Triangle NTE is similar to triangle KLA. If LA-8, EN 125, and AK 5, what is the length of TE? (1 point)

A. 78
B. 100
C. 25
D. 200

1 answer

Since triangle NTE is similar to triangle KLA, the corresponding sides are proportional.

Given: LA-8, EN-125, AK-5

We can set up the proportion:

EA/LA = TE/AK

Substituting the given lengths:

125/8 = TE/5

Cross-multiplying:

625 = 8 * TE

TE = 625/8 = 78.125

The length of TE is approximately equal to 78.

Therefore, the answer is A. 78.
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