Bianca 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 7 cm and its base is 3 cm. 1.0 cm2 4.5 cm2 9.0 cm2 16.5 cm2
Accepted Solution
A:
Correct Answer: 4.5 cm²
Two triangles of different sizes make up the logo. We are to find the difference in the areas of these triangle. Smaller triangle has a base of 2 cm and height 6 cm. Larger triangle has the base of 3 cm and height 7 cm.
Area of the triangle = [tex] \frac{1}{2} [/tex] x Base x Height
So, Area of smaller triangle = [tex] \frac{1}{2} *(2)(6)=6[/tex] cm² Area of larger triangle = [tex] \frac{1}{2} *(3)(7)=10.5[/tex] cm²
The difference in the areas of triangles = 10.5 - 6 = 4.5 cm²