The image of the triangles are missing and so i have attached it.
Answer:
Explained below.
Step-by-step explanation:
If we delete line AC in the diagram, we are left with line AB and BC.
Now, we are told to leave points B and C fixed.
Now, if we move Point A to different locations, ∠ ABC will increase or decrease depending on the new location that point A is put.
Lastly, if we move Point A to a point on line CB, it means ∠ABC = 0° because it isn't subtended at any angle at all.
Answer:
302.02 units²
Step-by-step explanation:
To do this, we can first solve for the height of the trapezoid. We can do this using sin:
sin 70=
14· sin 70≈13.16
Now, we can solve for the base of the small triangle on the right by:
cos 70=
14 · cos 70 ≈4.79
Now, find the area of the triangle using :
V= (4.79)(13.16)/2≈30.86
Now, we can find the area of the rectangle in the middle by:
15· 13.16 (the height)= 197.4
Now, we need to solve for the triangle on the left. We will need to first find the base by subtracting the bases of the other figures from 31:
31-4.79-15= 11.21
Now, find the area of the triangle:
V=(11.21)(13.16)/2= 73.76
Add all of the areas, giving you:
73.76+30.86+197.4= 302.02 units²