Question

how do you find the surface area for this triangle? please explain.
(medal given, picture below)

Answer 1

The figure shows a pyramid. Which area are you trying to find?

Answer 2

(1/2) b h

Answer 3

This is how you find the height of the triangular face.
\((5.7 ~ft)^2 + (4 ~ft)^2 = h^2 \)

Then the area of the triangular face is

\( A = \dfrac{bh}{2} \)

with b = 8 ft, and h = the number you found above for h.

If you need the lateral area of the pyramid, multiply the area of a face by 4.

The area of the base is the area of a square with side 8 ft.

The total surface area is the sum of the area of the base and the lateral area.