Answer:
The answer is b, which is 3+x+3
Pythagorean Theorem: a^2 + b^2 = c^2
-A and B are legs of the triangle
-C is the hypotenuse
#1.
6^2 + 8^2 = c^2
36 + 64 = c^2
100 = c^2
c = 10
#2.
5^2 + 12^2 = c^2
25 + 144 = c^2
169 = c^2
c = 13
#4.
10^2 + 4^2 = c^2
100 + 16 = c^2
116 = c^2
c = 
#5.
15^2 + 9^2 = c^2
225 + 81 = c^2
306 = c^2
c = 
#6.
120^2 + b^2 = 150^2
14400 + b^2 = 22500
b^2 = 8100
b = 90
#7.
144^2 + b^2 = 194^2
20736 + b^2 = 37636
b^2 = 16900
b = 130
Hope this helps!! :)
Step 1) Check if the given triangle lengths form a right triangle
3^2 + 5^2 = 6^2
9 + 25 = 36
36 = 36
Step 2) Solve for the area of the triangle
Formula: A = 1/2 x base x height
A = 1/2 x 3 x 5
A = 1/2 x 15
A = 7.5 m^2
Step 3) Solve for the perimeter of the triangle
Formula: P = sum of all sides
P = 3 + 5 + 6
P = 14 m
Ravi needs to plant 7.5m^2 of grass and put up a fence that is 14m in total length.
Hope this helps!! :)
The Answer is Triangular Prism.