Answer:
b= 4 in.
Step-by-step explanation:
Ok. So the area of a triangle is base * height divided by 2.
So, the base is b and the height is 3b.
b*3b= 3b^2.
Now, divide that by 2.
(3b^2)/2.
Now, we know what the area is already- 24 in.^2. So, let's set the area expression that I found earlier equal to this area, since they're the same.
(3b^2)/2 = 24
3b^2 = 48
b^2 = 16
Ok. Let's stop here. Now, we square root both sides to obtain b, but we are presented with a problem here. B can equal both 4 and -4 right? Since -4*-4=16 and 4*4=16. However, it is impossible for a 2d shape to have negative measurements. So, the answer is 4.
