Example 1 : If a line intersects sides AB and AC of a A ABC at D and E

1.	Example 1 : If a line intersects sides AB and AC of a A ABC at D and E respectivelyAD AEand is parallel to BC, prove that = (see Fig. 6.13).â AB AC
Answer» Sol:Given that DE \|\| BC . we know that AD / DB = AE / ECDB / AD = EC / AE adding 1 on sides we get(DB / AD) + 1 = (EC / AE) + 1( AD + DB) / AD = ( AE + EC) / AE.AB / AD = AC / AEAD / AB = AE / AC.

Example 1 : If a line intersects sides AB and AC of a A ABC at D and E respectivelyAD AEand is parallel to BC, prove that = (see Fig. 6.13).â AB AC

Answer»

Sol:Given that DE || BC .

we know that AD / DB = AE / ECDB / AD = EC / AE adding 1 on sides we get(DB / AD) + 1 = (EC / AE) + 1( AD + DB) / AD = ( AE + EC) / AE.AB / AD = AC / AEAD / AB = AE / AC.

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Example 1 : If a line intersects sides AB and AC of a A ABC at D and E respectivelyAD AEand is parallel to BC, prove that = (see Fig. 6.13).â AB AC

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Example 1 : If a line intersects sides AB and AC of a A ABC at D and E respectivelyAD AEand is parallel to BC, prove that = (see Fig. 6.13).â AB AC