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 ?
Since Triangle NTE is similar to Triangle KLA, the corresponding sides are proportional.
Let's set up the proportion:
LA / EN = KA / TE
Substituting the given values:
LA / 63 = 7 / 99
Cross-multiplying:
LA * 99 = 7 * 63
LA * 99 = 441
Dividing both sides by 99:
LA = 441 / 99
Simplifying:
LA = 4.45
Therefore, the length of LA is approximately 4.45.