Question

T
L
99
X
N
63
E
K
7
A
Triangle NTE is similar to triangle KLA. If TE = 99, EN 63, and AK 7, what is the length of LA?

Answer 1

If N ↔ K, T ↔ L, E ↔ A (from the vertex order), then EN corresponds to AK. The scale factor from triangle NTE to KLA is AK/EN = 7/63 = 1/9. Thus LA corresponds to TE and LA = (1/9)·99 = 11.