Q2 of 42 Page 202

In the given figure, LM || CB and LN || CD Prove that

Given, LM||CB and LN||CD


Need to prove


⇒ In ACB, LM || CB


⇒ now, we know that line drawn parallel to one side of the triangle, intersects the other two sides in distinct points, then it divides the other 2 side in same ratio.


∴ ……….eq(1)


And in ACD, LN||CD


⇒ …………eq(2)


From eq(1) and eq(2), we get


⇒


⇒


Adding 1 on both sides we get


⇒ + 1 = + 1


⇒ =


⇒ =


⇒ =


Hence, proved.


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