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In a Δ ABC ...

Question

In a $Δ A B C$ if AB + BC = 12 cm, BC + CA = 14 cm CA + AB = 18 cm then the perimeter of the triangle is__

A

22 cm

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B

44 cm

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C

20 cm

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D

None of these

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Solution

The correct option is A 22 cm
AB + BC = 12
BC + CA = 14
CA + AB = 18
$¯ ¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯ ¯ 2 (A B + B C + C A) = 44$
AB + BC + CA =22 cm
$∴$ Perimeter = 22 cm

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