Answer:
[tex]x = 7cm[/tex]
Step-by-step explanation:
Given
Similar prisms
Required
Find x
Because both sides are similar, we can get the ratios of similar sides.
For the base of the prism:
[tex]Ratio= 8cm : 4cm[/tex]
For the height:
[tex]Ratio = 14cm : x[/tex]
Similar triangles have similar ratios.
So, we have:
[tex]8cm:4cm = 14cm:x[/tex]
Convert to fraction
[tex]\frac{8cm}{4cm} = \frac{14cm}{x}[/tex]
[tex]\frac{8}{4} = \frac{14cm}{x}[/tex]
[tex]2 = \frac{14cm}{x}[/tex]
Make x the subject
[tex]x = \frac{14cm}{2}[/tex]
[tex]x = 7cm[/tex]
