Question

ABCD is a rectangle.

Rectangle A B C D is shown. All angles are right angles. The length of A D is 5 and the length of D C is 12.

Use the diagram to answer the questions.

The length of AB is
.

The length of BC is
.

The length of AC is
.

Answer 1

12,5, and 13

Explanation:

i got it right on edge

Answer 2

AB = 12 BC = 5 AC = 13

Explanation:

opposite sides of a rectangle are congruent, therefore AB = DC = 12

and BC = AD = 5.

Now, AC is found by using the Pythagorean theorem.

So,
`AC^(2)` =
`AB^(2)` +
`BC^(2)`

=
`12^(2)+5^(2)`

= 144 + 25 = 169

AC =
`√(169)` = 13