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In the diagram, triangles HKL and HIJ are similar. Which of the following ratios...


Question

In the diagram, triangles HKL and HIJ are similar. Which of the following ratios is equal to \(\frac{LH}{JH}\)?

Options

A) \(\frac{KL}{JI}\)

B) \(\frac{HK}{JK}\)

C) \(\frac{JI}{KL}\)

D) \(\frac{HK}{LK}\)

The correct answer is A.

Explanation:

\(\bigtriangleup\) is similar to \(\bigtriangleup\) HIJ

< HKL = HJI = xo

Hence, \(\frac{LH}{JH} = \frac{KH}{JH} \frac{KL}{IJ}\)

\(\frac{LH}{JH} = \frac{KL}{JI}\)


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Dicussion (1)

  • \(\bigtriangleup\) is similar to \(\bigtriangleup\) HIJ

    < HKL = HJI = xo

    Hence, \(\frac{LH}{JH} = \frac{KH}{JH} \frac{KL}{IJ}\)

    \(\frac{LH}{JH} = \frac{KL}{JI}\)

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