9514 1404 393
Answer:
x = 5
Step-by-step explanation:
In a parallelogram, the diagonals bisect each other. This means ...
PQ = PS
2x +15 = 5x
15 = 3x . . . . . . subtract 2x
5 = x . . . . . . . divide by 3
Depth=15
x=(height(h)*width(w)*hypotenuse(y))/2
x=(3*4*5)/2=(60/2)=30
y=(x(x-h)(x-w)(x-y))^(1/2)
f=(-h^4+2(hw)^2+2(wy)^2-w^4+2(hy)^2-y^4)^(1/2)
f=(-3^4+2(3*4)^2+2(4*5)^2-4^4+2(3*5)^2-5^4)^(1/2)
f=576^(1/2)
f=24
Surface Area= 2f(.5)+(h+w+y)*depth
192=depth*(3+4+5)+24(.5)
180=(3+4+5)*depth
180=(12)(depth)
15=depth
The surface area<span> of any </span>prism<span> is the total </span>area<span> of all its sides and faces. A </span>triangular prism<span> has three rectangular sides and two </span>triangular<span> faces. </span>To find<span> the </span>area<span> of the rectangular sides, use the </span>formula A = lw, where A = area, l = length, and h = height.
The formula <span>A=<span>1/2 </span>bh</span><span> </span>
.2 converted to a fraction would be 1/5
