ΔABC∼ΔPQR, AB = 10 സെ.മീ, BC = 4 സെ.മീ, PQ = 6 സെ.മീ.ആണെങ്കിൽ QR =?

  1. 5.2 സെ.മീ.
  2. 2.2 സെ.മീ.
  3. 3.5 സെ.മീ.
  4. 2.4 സെ.മീ.

Answer (Detailed Solution Below)

Option 4 : 2.4 സെ.മീ.
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Detailed Solution

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തന്നിരിക്കുന്നത്:

ΔABC∼ΔPQR

AB = 10 സെ.മീ, BC = 4 സെ.മീ, PQ = 6 സെ.മീ.

സൂത്രവാക്യം:

ΔABC∼ΔPQR ആണെങ്കിൽ

AB/BC = PQ/QR = AC/PR

കണക്കുകൂട്ടൽ:

ΔABC∼ΔPQR

⇒ AB/BC = PQ/QR

⇒ 10/4 = 6/QR

⇒ QR = 6 × (4/10)

⇒ QR = 2.4 സെ.മീ.

 

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