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Lengths of Rectangles

ABCD is a rectangle.
А
Use the diagram to answer the questions
The length of AB is
The length of BC is
The length of AC is
B.
VX
5
D
12
Done

Lengths of Rectangles ABCD is a rectangle. А Use the diagram to answer the questions-example-1
User RobV
by
3.4k points

2 Answers

1 vote

Answer:

Explanation:

E2020

Lengths of Rectangles ABCD is a rectangle. А Use the diagram to answer the questions-example-1
User QHarr
by
3.3k points
6 votes

Answer:

AB = 5

BC = 12

AC = 13

Explanation:

A rectangle is a quadrilateral and therefore, opposite sides are parallel and congruent to each other. Thus:

AB = CD = 12

AB = 12

BC = AD = 5

BC = 5

AC is a diagonal of the rectangle, use Pythagorean theorem to find it's length as follows:

AC² = AD² + CD²

Plug in the values

AC² = 5² + 12²

AC² = 169

AC = √169

AC = 13

User Marianella
by
2.8k points