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In the following figure, if LM || CB and LN || CD, prove that (AM)/(AB)=(AN)/(AD) - Mathematics

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In the following figure, if LM || CB and LN || CD, prove that `(AM)/(AB)=(AN)/(AD)`

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Solution

In the given figure, LM || CB

By using basic proportionality theorem, we obtain

`(AM)/(AB) = (AL)/(AC)  ........(i)`

Similary, LN || CD

`:.(AN)/(AD)=(AL)/(AC).........(ii)`

From (i) and (ii), we obtain

`(AM)/(AD) = (AN)/(AD)`

Concept: Similarity of Triangles
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APPEARS IN

NCERT Class 10 Maths
Chapter 6 Triangles
Exercise 6.2 | Q 3 | Page 128
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