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Question

In a triangle ABC , if A=450,C=600, the a+c is equal to

A
(2+22)k.
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B
(2+32)k.
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C
(2+33)k.
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D
(3+32)k.
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Solution

The correct option is B (2+32)k.
asinA=bsinB=csinc=k [A=45°,B=75°,C=60°]
a=ksinA=ksin45°=k2
c=ksinC=ksin60°=32
b=ksinB=ksin75°
a+c=k(13+32)=(2+32)k
Hence, the answer is (2+32)k.

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