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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) $$\frac{HK}{LK}$$

### Explanation:

$$\bigtriangleup$$ is similar to $$\bigtriangleup$$ HIJ

< HKL = HJI = xo

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

$$\frac{LH}{JH} = \frac{KL}{JI}$$

## Dicussion (1)

• $$\bigtriangleup$$ is similar to $$\bigtriangleup$$ HIJ

< HKL = HJI = xo

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

$$\frac{LH}{JH} = \frac{KL}{JI}$$