Answer:

Step-by-step explanation:
it's important to mention this only works for right triangles. Or in other words a triangle that has a 90 degree angle. the two sides connected to that right angle are called legs, while the one side not touching it is the hypotenuse, which is what we're looking for.
we are going to use the Pythagorean theorem. if we label one leg a and the other as b, it doesn't matter which one is which, and the hypotenuse as c we have the relation

so let's plug in.




let me know if you need any more help.
Answer:
The lateral height of the square pyramid is 
Step-by-step explanation:
step 1
Find the surface area of the cube
The surface area of the cube is equal to

where
b is the length side of the cube
w have

substitute

step 2
Find the lateral height of the square pyramid
we know that
the surface area of the square pyramid is equal to

where
B is the area of the base
b is the base of the lateral triangle (base of the square)
h is the lateral height of the square pyramid

-----> is the same surface that the cube

substitute the values and solve for h



Answer:
36 x 2 + 16?
Step-by-step explanation:
S = 2b + ph
Lets subtract both sides by 2b
s - 2b = ph
Now, divide both sides by h
(s-2b)/h = p
Hope this helps!