Question

NEED HELP ASAP!!

Brian 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?

A.7.5 cm2
B.15.0 cm2
C.19.5 cm2
D.39.0 cm2

Answer 1

area of a triangle = 1/2 * base * height
so difference between the two is
(0.5*9*3)-(0.5*6*2) = 7.5

Answer 2

Hey there!

In order to find the area of a right triangle, you need to use the following formula:


`(ab)/(2)`

a is the height of your triangle and b is the length. Since you're just multiplying your measurements together, it doesn't really matter which order to write them in when working your problems out.

To find the difference between the two triangles, solve both triangles for their area and subtract the area of the smaller triangle from the area of the larger triangle.

Small Triangle:


`(ab)/(2)`


`((6)(2))/(2)`


`(12)/(2)`


`6`

Large Triangle:


`(ab)/(2)`


`((9)(3))/(2)`


`(27)/(2)`


`13.5`

Now, just subtract:


`13.5 - 6 = 7.5`

The difference of the two triangles is 7.5. Your answer will be A.

Hope this helped you out! :-)