Question

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

Answer 1

For this case what we should do is define the variables.

We have then:

AB: length of the rectangle

BC: rectangle width

d: diagonal of the rectangle

The diagonal of the rectangle is given by:

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From here, we clear the value of AB:

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Substituting values:

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Answer:

the length of line segment AB is:

`AB = √(4 - BC ^ 2)`

Answer 2

Unfortunately, this item does not come with any figure to illustrate the lengths of the rectangle. However, it may be noted that by connecting two opposite vertices of a rectangle by a diagonal, we form a right triangle. We may then use the Pythagorean theorem to solve for the answer.
a² + b² = c²
c in this equation is the length of the diagonal, a and b are the lengths of the sides.