Answer:
The longest side of the cross-section is: [tex]2.4cm[/tex]
Step-by-step explanation:
Given
See attachment for pyramid
Required
The longest side of the cross-section
The base of the pyramid is a rectangle with the following dimension (in terms of length)
[tex]Long = 6cm[/tex]
[tex]Short = 3cm[/tex]
For the cross-section, we have:
[tex]Long = x[/tex]
[tex]Short =1.2cm[/tex]
Since both are parallel, then the following relationship exist between both
[tex]Ratio = Long : Short[/tex]
So, we have:
[tex]6cm : 3cm = x: 1.2cm[/tex]
Express as fraction
[tex]\frac{6cm }{ 3cm }= \frac{x}{1.2cm}[/tex]
[tex]2= \frac{x}{1.2cm}[/tex]
Make x the subject
[tex]x = 2 * 1.2cm[/tex]
[tex]x = 2.4cm[/tex]
