Let ABC ~ QPR and arABC : arPQR = 1 : 16. If AB = 12 cm, BC = 6 cm and AC = 9 cm then PR is equal to:
Show answer & explanation
Correct answer: C
Explanation
Correct Answer is option 3 i.e. 24 cm
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Concept |
Understanding |
Application |
Fair calculation |
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If 2 triangles are similar: (Area of triangle1/ Area of triangle2) = (Side12/Side22) |
Given that: ∆ABC is similar to ∆QPR And Area(∆ABC) : Area(∆QPR) = 1 : 16 AB = 12, BC = 6, AC = 9 |
(Area of ABC/ Area of QPR) = (BC2/PR2) ⇒1/16 = (6/PR)2 ⇒ 1/4 = 6/PR ⇒ PR = 24 cm |
1/4 = 6/PR ⇒ PR = 4 × 6 = 24 |