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