Q3 of 95 Page 6

In the given figure BC = 5 cm, AC = 5.5 cm and AB= 4.6 cm. P and Q are points on AB and AC respectively such that PQ || BC. If PQ = 2.5 cm, find other sides of ΔAPQ.

Given: PQ || BC


To find: AP and AQ


Since, PQ || BC, AB is transversal, then,


APQ = ABC [by corresponding angles]


Since, PQ || BC, AC is transversal, then,


APQ = ABC [by corresponding angles]


In APQ andABC


∠APQ = ∠ABC


∠AQP = ∠ACB


∴ APQ ≅ ABC [by AAA similarity]


Since, the corresponding sides of similar triangles are proportional






⇒AP = 2.3


Now, taking




⇒AQ = 2.75


Therefore, AP = 2.3cm and AQ = 2.75cm


More from this chapter

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1

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(i)


(ii)


(iii)


(iv)


(v)


(vi)


(vii)

2

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