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
25
25
78
78
100
100
200
Bot GPT 3.5
answered
Solution: Since triangles NTE and KLA are similar, the ratio of corresponding sides must be equal.
Therefore,
NT/KA = TE/LA
125/5 = x/8
25 = x/8
x = 25*8 = 200
Therefore, the length of TE is 200.
