Question

Brian needs to paint a logo using two right triangles. The dimensions of the logo are shown below. What is the difference between the area of the large triangle and the area of the small triangle? ​

Answer 1

7.5 cm²

Explanation:

Dimensions of the large ∆:

`base (b) = 3cm, height (h) = 9cm`

`Area = 0.5*b*h = 0.5*3*9 = 13.5 cm^2`

Dimensions of the small ∆:

`base (b) = 2cm, height (h) = 6cm`

`Area = 0.5*b*h = 0.5*2*6 = 6 cm^2`

Difference between the area of the large and the small ∆ = 13.5 - 6 = 7.5 cm²