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The diagonal of rectangle ABCD measures 2 inches in length.What is the length of line segment AB?

1 inch
inches
4 inches
inches

The diagonal of rectangle ABCD measures 2 inches in length.What is the length of line-example-1

2 Answers

5 votes

Answer:

The answer is B on edge

Explanation:

User Prateek Sharma
by
7.5k points
6 votes

we know that

AB=CD

AD=BC

in the right triangle DBC


cos\ 30=(adjacent\ side\ angle\ 30)/(hypotenuse)


adjacent\ side\ angle\ 30=DC\\ hypotenuse=BD=2\ in

substitute


cos\ 30=(DC)/(2)


DC=2*cos\ 30\\\\DC=2*(√(3) )/(2) \\\\ DC=√(3)\ in


DC=√(3)\ in=1.73\ in

remember that

AB=CD

so


AB=√(3)\ in=1.73\ in

therefore

the answer is

the length of line segment AB is
√(3)\ in

User Wasatz
by
8.3k points

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