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Question

On hypotenuse AB of a right triangle ABC a second right triangle ABD is constructed with hypotenuse AB. If ¯¯¯¯¯¯¯¯BC=1,¯¯¯¯¯¯¯¯AC=b, and ¯¯¯¯¯¯¯¯¯AD=2, then ¯¯¯¯¯¯¯¯¯BD equals.

A
b2+1
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B
b23
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C
b2+1+2
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D
b2+5
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E
b2+3
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