Triangle NTE is similar to triangle KLA. If LA-8, EN 125, and AK 5, what is the length of TE?
A. 78
B. 100
C. 25
D. 200
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.