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REY [17]
3 years ago
13

What is the length of line segment AB?1 inchv3 inches4 inches475 inches​

Mathematics
1 answer:
drek231 [11]3 years ago
5 0

Answer:

AB=\sqrt{3}\ in

Step-by-step explanation:

<u><em>The correct question is</em></u>

The diagonal of rectangle ABCD measures 2 inches in length.

What is the length of line segment AB?

The picture of the question in the attached figure

we know that

In the right triangle ABD

cos(30^o)=\frac{AB}{BD} ----> by CAH (adjacent side divided by the hypotenuse)

substitute the given values

cos(30^o)=\frac{AB}{2}

Remember that

cos(30^o)=\frac{\sqrt{3}}{2}

so

\frac{AB}{2}=\frac{\sqrt{3}}{2}

AB=\sqrt{3}\ in

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