Triangle NTE is similar to triangle KLA. If TF = 99 EN = 63 and AK = 7 what is the length of LA?

3 answers

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

The corresponding sides of similar triangles are in proportion.

So, we have the following proportion:

NT/KA = TE/LA

We can substitute the given values into the proportion:

99/7 = 63/LA

To solve for LA, we can cross multiply:

99*LA = 7*63

Divide both sides by 99:

LA = (7*63)/99

LA = 441/99

LA ≈ 4.454545

The length of LA is approximately 4.454545 (or rounded to 4.45 to the nearest hundredth).
wrong
Apologies for the mistake. Let's try again.

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

The corresponding sides of similar triangles are in proportion.

So, we have the following proportion:

NT/LA = TE/AK

We can substitute the given values into the proportion:

99/LA = 63/7

To solve for LA, we can cross multiply:

63*LA = 99*7

Divide both sides by 63:

LA = (99*7)/63

LA = 693/63

LA = 11

The length of LA is 11 units.
Similar Questions
  1. Which set of side lengths shows similar triangles? (1 points)A) Triangle ABC : 40, 20, 50; Triangle XYZ: 10, 4, 8 B) Triangle
    1. answers icon 6 answers
  2. Which set of side lengths shows similar triangles?Triangle ABC : 40, 20, 50; Triangle XYZ: 10, 12.5, 10 Triangle ABC : 30, 20,
    1. answers icon 2 answers
    1. answers icon 3 answers
  3. △ABC ~ △DEFcan be read as which of the following?Triangle ABC is similar to triangle DEF. Triangle ABC is congruent to
    1. answers icon 1 answer
more similar questions