triangle nte is similar to triangle kla if la=8 en=125 and ak=5 what is the length of te?

78

200

25

or 100

To determine the length of "te," we need to find the scale factor between the two triangles by comparing the corresponding sides.

Given:
la = 8
en = 125
ak = 5

We can set up the proportion:
LA / AK = EN / TE

(8 / 5) = (125 / TE)

Cross-multiplying, we get:
(8 * TE) = (5 * 125)

Simplifying:
8TE = 625

Dividing both sides by 8:
TE = 625 / 8

TE ≈ 78.125

Therefore, the length of "te" is approximately 78.125.
However, since the given answer choices are whole numbers, the closest option is 78. Answer: 78.