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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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Answer 1

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.