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TRIANGLES<br />

6<br />

6.1 Introduction<br />

You are familiar with triangles and many of their properties from your earlier classes.<br />

In Class IX, you have studied congruence of triangles in detail. Recall that two figures<br />

are said to be congruent, if they have the same shape and the same size. In this<br />

chapter, we shall study about those figures which have the same shape but not necessarily<br />

the same size. Two figures having the same shape (and not necessarily the same size)<br />

are called similar figures. In particular, we shall discuss the similarity of triangles and<br />

apply this knowledge in giving a simple proof of Pythagoras Theorem learnt earlier.<br />

Can you guess how heights of mountains (say Mount Everest) or distances of<br />

some long distant objects (say moon) have been found out? Do you think these have

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