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10. In ∆ ABC, P and Q are the midpoint of ABand AC respectively, If PQ + BC = 8.4 cm andAB + AC = 20.5 cm, then find the perimeter of∆АВС.​

Answer»

<P>Answer:

26.1

Step-by-step explanation:

  • in ∆ ABC, P and Q are the midpoint of AB and AB
  • If PQ + BC = 8.4 cm and AB +AC =20.5 cm
  • perimeter of ∆ ABC =
  • pq + bc = 8.4
  • pq +pq +pq = 8.4 ( by MID point theorem)
  • 3pq = 8.4
  • pq = 2.8
  • bc = 5.6 ( 8.4 - 2.8)
  • perimeter of ∆ ABC = ab+ bc + ac
  • perimeter of ∆ ABC = 26.1


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