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)
To find the length of LA, we can set up a proportion using the sides of the two triangles.
We know that triangle NTE is similar to triangle KLA, so we can set up the following proportion:
EN/TE = AK/LA
Plugging in the given values, we have:
63/99 = 7/LA
To solve for LA, we can cross multiply:
63 x LA = 99 x 7
63LA = 693
Dividing both sides of the equation by 63, we find:
LA = 693/63
LA = 11
Therefore, the length of LA is 11.