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
200
200
78
78
100
100
25
25
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page 13 of 13
We can use the property of similarity to find the length of TE.
Since triangle NTE is similar to triangle KLA, we can set up the following proportion:
LA / AK = TE / EN
Plugging in the given values, we have:
8 / 5 = TE / 125
Cross multiplying, we get:
5*TE = 8*125
Simplifying, we have:
5*TE = 1000
Dividing both sides by 5, we get:
TE = 200
Therefore, the length of TE is 200.