1.

In the given figure, P is a point on AB such that AP : PB = 4 : 3. PQ is parallel to AC. (i) Calculate the ratio PQ : AC, giving reason for your answer. (ii) In triangle ARC, ∠ ARC = 90∘ and in triangle PQS, ∠ PSQ = 90∘. Given QS = 6 cm, calculate the length of AR.

Answer»

In the given figure, P is a point on AB such that AP : PB = 4 : 3. PQ is parallel to AC.
(i) Calculate the ratio PQ : AC, giving reason for your answer. (ii) In triangle ARC, ARC = 90 and in triangle PQS, PSQ = 90. Given QS = 6 cm, calculate the length of AR.



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