Answer:
The width of the shelf is 6 inches
Step-by-step explanation:
Given:
Length of the brace attached to the wall = 4.5 inches
The Length of the hypotenuse = 7.5 inches
To Find:
The width of the shelf =?
Solution:
The brace holding the shelf is in the shape of the right triangle
Where one side is of length 4.5 inches and Hypotenuse of length is 7.5 inches
In a Right triangle according to the Pythagorean theorem
Where
a and b are the sides
c is the hypotenuse
Now substituting the values
b = 6
This side of the brace is same as the width of the shelf, so the width of the shelf is also 6 inches