Question

Billy needs to paint a logo made using two right triangles. The dimensions of the logo are shown below. What is the total area of the two triangles that need to be painted? 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 3 cm.

Answer 1

The area of a triangle is half the multiplication of the base and the height.

So, if the smaller triangle has height 6 cm and base 2 cm, its are is

$\dfrac{6\times 2}{2}=6$

Similarly, if the height of the larger triangle is 9 cm, and its base is 3 cm, its area is

$\dfrac{9\times 3}{2}=\dfrac{27}{2}$

So, the total area is

$6+\dfrac{27}{2} = \dfrac{12}{2}+\dfrac{27}{2}=\dfrac{39}{2}$