Erika J. answered 04/06/15
Tutor
New to Wyzant
Certified to teach Math
So this shape is made up of 4 triangles that all have the same area. So we need to find the area of one of those triangles and then multiply that number by 4 to get our surface area.
The area of a triangle equals 1/2(base)(height).
or
A=1/2bh
Your base (b) is 20m
Your height (h) is 17.3m
So we can plug them in for their letters.
A=1/2(20)(17.3)
Plug that into the calculator...
A=173
Now we need to multiply this answer by 4 to represent all four sides of your tetrahedron.
Total Surface Area=173(4)
Total Surface Area=692m