Use the image to answer the question.

Question

An illustration shows a larger triangle upper N upper T upper E and a smaller triangle upper K upper L upper A, with labeled sides. On the first triangle, side upper E upper N is the base labeled as 125, side upper T upper E is on the right labeled as x, and side upper N upper T is on the left and is not labeled. On the second triangle, side upper A upper K is the base and is labeled as 5, side upper L upper A is on the right labeled as 8, and side upper K upper L is on the left and is not labeled.

Triangle NTE is similar to triangle KLA. If LA=8, EN=125, and AK=5, what is the length of TE?

(1 point)
Responses

25
25

78
78

200
200

100

Answer 1

The length of TE can be found by setting up a proportion between the corresponding sides of the similar triangles:

(TE/8) = (125/5)

Cross-multiplying, we get:

TE = (8 * 125)/5

TE = 100

Therefore, the length of TE is 100.