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4. Triangles
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Q20 of 168 Page 4

In Fig. 4.239, is similar to. If AK = 10 cm, BC = 3.5 cm and HK = 7 cm, find AC. [CBSE 2010]


Given ΔAHK ~ ΔABC, AK = 10 cm, BC = 3.5 cm and HK = 7 cm.


We know that two triangles are similar if their corresponding sides are proportional.




∴ AC = 5 cm


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18

In Fig. 4.237, LM = LN = 46°. Express x in terms of a, b and c where a, b, c are lengths of LM, MN and and NK respectively.


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In Fig. 4.238, S and T are points on the sides PQ and PR respectively of A PQR such that PT = 2 cm, TR = 4 cm and ST is parallel to QR. Find the ratio of the areas of and . [CBSE 2010]


21

In Fig. 4.240, in such that BC = 8 cm, AB = 6 cm and DA =1.5 cm. Find DE.


22

In Fig. 4.241, and AD = BD. If BC = 4.5 cm, find DE.


Questions · 168
4. Triangles
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