To determine the length of TE, we need to set up a proportion using the given information.
The ratio of the corresponding sides in similar triangles is equal. So, we can set up the proportion:
LA/AK = EN/TE
Substituting the given values:
8/5 = 125/TE
Cross-multiplying, we get:
8TE = 5 * 125
8TE = 625
Dividing both sides by 8:
TE = 625/8
TE ≈ 78.125
Therefore, the length of TE is approximately 78.
Triangle NTE is similar to triangle KLA. If LA-8, EN 125, and AK 5, what is the length of TE?
78
100
25
200
1 answer