In the diagram, triangles HKL and HIJ are similar. Which of the following ratios is equal to \(\frac{LH}{JH}\)
Attached Figure / Diagram
A
\(\frac{KL}{JI}\)
B
\(\frac{HK}{JK}\)
C
\(\frac{JI}{KL}\)
D
\(\frac{HK}{LK}\)
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
\(\bigtriangleup\) is similar to \(\bigtriangleup\) HIJ
o
Hence, \(\frac{LH}{JH} = \frac{KH}{JH} \frac{KL}{IJ}\)
\(\frac{LH}{JH} = \frac{KL}{JI}\)
Source: Myschool Past Questions Archive (Record #36603)