In the diagram triangles HKL and HIJ are simila... - WAEC Mathematics 2010 Question
In the diagram, triangles HKL and HIJ are similar. Which of the following ratios is equal to \(\frac{LH}{JH}\)
A
\(\frac{KL}{JI}\)
B
\(\frac{HK}{JK}\)
C
\(\frac{JI}{KL}\)
D
\(\frac{HK}{LK}\)
correct option: a
\(\bigtriangleup\) is similar to \(\bigtriangleup\) HIJ
< HKL = HJI = xo
Hence, \(\frac{LH}{JH} = \frac{KH}{JH} \frac{KL}{IJ}\)
\(\frac{LH}{JH} = \frac{KL}{JI}\)
< HKL = HJI = xo
Hence, \(\frac{LH}{JH} = \frac{KH}{JH} \frac{KL}{IJ}\)
\(\frac{LH}{JH} = \frac{KL}{JI}\)
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