Question

Britney needs to a loge made using two right triangles the dimensions of the logo what is the difference between the area of the large triangle and the area of the small triangle

Answer 1

The difference is 16.5cm^2

Explanation:

Given

Large triangle

`Base = 5cm`

`Height = 9cm`

Small triangle

`Base = 2cm`

`Height = 6cm`

See attachment for logo

Required

The difference in their areas

Area is calculated as:

`Area = 0.5 * Base * Height`

For the large triangle

`Area = 0.5 * 5cm * 9cm`

`Area = 22.5cm^2`

For the small triangle

`Area = 0.5 * 2cm * 6cm`

`Area = 6cm^2`

The difference (d) is calculated as:

`d = 22.5cm^2 - 6cm^2`

`d = 16.5cm^2`