Find the length of the diagonal AB:

Question

A

F

E

H

12

C

3

D

4

B

G

You would first use_____on the bottom of the box rectangle to find the diagonal CB =______

Then use CB as_____ of the triangle ACB, _______with AB being the_____

AB is approximately =____

Answer choices.
73 cm

13 cm

Pythagorean Theorem

89 cm

Area of a Rectangle

Square root 7

5 cm

3 cm

Perimeter of a rectangle

hypotenuse

a leg

Answer 1

To find the length of the diagonal AB, we can first find the length of the diagonal CB using the Pythagorean Theorem.

CB = √(3^2 + 4^2) = √(9 + 16) = √25 = 5

Then, we can use CB as a leg of the right triangle ACB, with AB being the hypotenuse.

So, AB = √(5^2 + 12^2) = √(25 + 144) = √169 = 13

Therefore, the length of the diagonal AB is approximately 13 cm.