Use the image to answer the 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
100
100
25
25
200
200
78
The length of TE can be found using the side-length ratios of the similar triangles.
In triangle NTE, the ratio of the length of TE to the length of EN is equal to the ratio of the length of KL to the length of AK.
Therefore, TE/EN = KL/AK
Substituting the given values, we have TE/125 = 8/5
Cross-multiplying, we get TE = (125)(8/5) = 200
Therefore, the length of TE is 200.
So, the answer is 200.