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

Question

A. 78
B. 100
C. 25
D. 200

Answer 1

Since triangle NTE is similar to triangle KLA, we can set up a proportion to find the length of TE.

Using the corresponding sides, we have:

NT/KA = TE/LA

Substituting the given values, we have:

NT/5 = TE/8

Cross-multiplying, we get:

8NT = 5TE

Dividing both sides by 8, we get:

NT = (5TE)/8

Since we want to find TE, we need to isolate it on one side of the equation.

Multiplying both sides by 8, we have:

8NT = 5TE

40NT = 5TE

Dividing both sides by 5, we get:

8NT/5 = TE

Now we can substitute the given value of NT into the equation:

8(125)/5 = TE

1000/5 = TE

200 = TE

Therefore, the length of TE is 200.

The answer is D. 200.