Question

Brent needs to paint a logo made 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?
Two right triangles are attached along their longest side. The smaller triangle has height 6 cm and base 2 cm. The height of the larger triangle is 9 cm and its base is 5 cm.

4.5 cm2
8.5 cm2
16.5 cm2
33.0 cm2

Answer 1

9514 1404 393

Answer:

  (c)  16.5 cm^2

Step-by-step explanation:

The area of each triangle is given by the formula ...

  A = 1/2bh

Smaller triangle area = (1/2)(2 cm)(6 cm) = 6 cm^2

Larger triangle area = (1/2)(5 cm)(9 cm) = 22.5 cm^2

The difference in area is ...

  22.5 cm^2 -6 cm^2 = 16.5 cm^2