Triangle NTE is similar to triangle KLA. If LA = 8 EN = 125 and AK = 5 what is the length of TE?
(1 point)
078
O 100
© 200
25
To find the length TE, we can set up a proportion using the corresponding side lengths of the similar triangles, NTE and KLA.
Since triangle NTE is similar to triangle KLA, the ratio of corresponding side lengths should be equal.
The corresponding side lengths we have are:
AK = 5 (from triangle KLA)
LA = 8 (from triangle KLA)
EN = 125 (from triangle NTE)
Setting up the proportion:
AK/EN = LA/TE
Plugging in the given values:
5/125 = 8/TE
Cross-multiplying:
5 * TE = 125 * 8
TE = (125 * 8)/5
TE = 100
Therefore, the length of TE is 100. Answer: O 100.