Question

Use the image to answer the question.

An illustration shows a larger triangle upper N upper T upper E and a smaller triangle upper K upper L upper A, with labeled sides. On the first triangle, side upper E upper N is the base labeled as 63, side upper T upper E is on the right labeled as 99, and side upper N upper T is on the left and is not labeled. On the second triangle, side upper A upper K is the base that is labeled as 7, side upper L upper A is on the right labeled as x, and side upper K upper L is on the left and is not labeled.

Triangle NTE is similar to triangle KLA. If TE=99, EN=63, and AK=7, what is the length of LA?
(1 point)

Answer 1

To solve this problem, we can set up a proportion using the corresponding sides of the two similar triangles:

NTE/KLA = TE/LA

Given that TE = 99, EN = 63, and AK = 7, we can substitute these values into the proportion:

(99)/(7) = (63)/(LA)

Now we can cross-multiply and solve for LA:

99 * LA = 7 * 63

99LA = 441

LA = 441 / 99

LA ≈ 4.45

Therefore, the length of LA is approximately 4.45.