48.25 in^2
Step-by-step explanation:
The formula for the surface area of a pyramid is:
[tex]SA=B+\frac{1}{2}l(number of base sides)(b)[/tex]
B represents the area of the base, which in this case is a triangle. We will figure out the area of the base first, using the formula for the area of a triangle.
[tex]A=\frac{1}{2}bh[/tex]
[tex]A=.5*5*4.3[/tex]
A = 10.75
Now we can plug in 10.75 for B.
[tex]SA=10.75+.5*5*3*5[/tex]
The cursive L will be the lateral height, which is 5. Since there are 3 sides on the base we can put that in for the number of base sides, and the base is 5.
[tex]SA=[/tex]
48.25 in^2
