Question

What is the surface area of this triangular pyramid?

Answer 1

48.25 in^2

Step-by-step explanation:

The formula for the surface area of a pyramid is:

$SA=B+\frac{1}{2}l(number of base sides)(b)$

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.

$A=\frac{1}{2}bh$

$A=.5*5*4.3$

A = 10.75

Now we can plug in 10.75 for B.

$SA=10.75+.5*5*3*5$

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.

$SA=$

48.25 in^2