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WAEC Mathematics 2010 Paper

Question : 40

Total: 49

\frac{LH}{JH}

Solution:

Concept:

Similar triangles have equal corresponding angles, so the ratios of their corresponding sides are equal.

Explanation:

In the diagram,

\triangle HKL

and

\triangle HIJ

are similar with vertex correspondence

H \to H

K \to I

, and

L \to J

So the corresponding sides are:

HK \leftrightarrow HI

KL \leftrightarrow JI

LH \leftrightarrow JH

Since corresponding sides are proportional,

\frac{LH}{JH}=\frac{HK}{HI}=\frac{KL}{JI}

Therefore, the ratio equal to

\frac{LH}{JH}

\frac{KL}{JI}

Answer:

\frac{KL}{JI}

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