Answer:
96.6 Square centimeters
Step-by-step explanation:
The pyramid's base is a triangle with sides of 6 centimeters each.
To find the area of the base, we multiply the base length by the height and divide by 2 (since it's a triangle).
[tex] Area \ of \ base = \frac{1}{2}\times 6 \times 5.2 = 15.6\ square \ centimeters [/tex]
The pyramid has three identical triangular faces.
Each triangular face is like a rectangle with a base of 6 centimeters and a height of 9 centimeters, cut in half (since it's a triangle).
[tex]So,\ the\ area\ of\ one\ triangular\ face\ is\ \frac{1}{2} \times 6 \times 9 = 27\ square\ centimeters.[/tex]
Since there are three of them, the total area of all triangular faces is 3 x 27 = 81 square centimeters
The pyramid's total surface area is the base's area plus the area of all three triangular faces. I'd be ( Total Surface Area = Area of base + Area of all triangular faces)
[tex] Total\ Surface\ Area=15.6+81=96.6\ square\ centimeters. [/tex]
