Answer:
The difference is 16.5cm^2
Step-by-step explanation:
Given
Large triangle
[tex]Base = 5cm[/tex]
[tex]Height = 9cm[/tex]
Small triangle
[tex]Base = 2cm[/tex]
[tex]Height = 6cm[/tex]
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Required
The difference in their areas
Area is calculated as:
[tex]Area = 0.5 * Base * Height[/tex]
For the large triangle
[tex]Area = 0.5 * 5cm * 9cm[/tex]
[tex]Area = 22.5cm^2[/tex]
For the small triangle
[tex]Area = 0.5 * 2cm * 6cm[/tex]
[tex]Area = 6cm^2[/tex]
The difference (d) is calculated as:
[tex]d = 22.5cm^2 - 6cm^2[/tex]
[tex]d = 16.5cm^2[/tex]