Answer:
B. 36+12sqrt(2)
Step-by-step explanation:
We can use Pitagoras' theorem to find the height of the triangle
15^2=9^2 + h^2
h^2=144
Lets apply square root to the whole equation:
sqrt(h^2=144)
h=12
With the height, we can now find the length of AC.
Sin(45)=12/AC.
AC=12/Sin(45)=24/sqrt(2)=12*sqrt(2) if we rationalize.
Now, lets fin the missing segment between B and C (call it)
where 9+x= BC
Cos(45)=x/AC
x=cos(45)*AC=12
Now, the perimeter is the sum of all its sides
AB+AC+BC=15+12*sqrt(2)+9+12=36+12sqrt(2)
Answer:
4x
Step-by-step explanation:
Answer: C, D and E
Step-by-step explanation: I'm a high school student and my teacher just went over this exact problem today. Here's somewhat how he explained it.
If you draw out trapezoid AEFB and turn it once clockwise or counterclockwise you would have only turned it 90 degrees but, turn it one more time (180) and you will see that it looks just like figure CFED. That's how I got the answers C and E. Ok, now for D its kinda the same thing Just because it say translate doesn't mean the shape would change. Even if you slide the shape and turn it two times in either direction you will still get figure CFED. Your Welcome
#1 15cm^2. ====> Good Luck! <====