Question
triangle NTE is similar to triangle KLA if TE=99 , EN=63, and AK =7, what is the length of LA
Answers
GPT 3.5
To solve this problem, we first need to determine the scale factor between triangle NTE and triangle KLA. Since NTE is similar to KLA, the corresponding sides are proportional.
Let the length of LA be x. Therefore, we can set up the proportion:
NT/KA = TE/LA
Substitute the given values:
99/7 = 63/x
Cross multiply to solve for x:
99x = 7*63
99x = 441
x = 441/99
x = 4.45
Therefore, the length of LA is approximately 4.45.
Let the length of LA be x. Therefore, we can set up the proportion:
NT/KA = TE/LA
Substitute the given values:
99/7 = 63/x
Cross multiply to solve for x:
99x = 7*63
99x = 441
x = 441/99
x = 4.45
Therefore, the length of LA is approximately 4.45.