Answer:
5.83
Step-by-step explanation:
i used pythagorean theorem
side a is 5 because congruence
side b would be 3 because 9 - 6 = 3
5^2 + 3^2 = c^2
25 + 9 = c^2
34 = c^2
sqrt of 34 is 5.83
A expression people say to express gratitude.
We are to solve the total area of the pyramid and this can be done through area addition. We first determine the area of the base using the Heron's formula.
A = √(s)(s - a)(s - b)(s - c)
where s is the semi-perimeter
s = (a + b + c) / 2
Substituting for the base,
s = (12 + 12 + 12)/ 2 = 18
A = (√(18)(18 - 12)(18 - 12)(18 - 12) = 62.35
Then, we note that the faces are just the same, so one of these will have an area of,
s = (10 + 10 + 12) / 2 = 16
A = √(16)(16 - 12)(16 - 10)(16 - 10) = 48
Multiplying this by 3 (because there are 3 faces with these dimensions, we get 144. Finally, adding the area of the base,
total area = 144 + 62.35 = 206.35
Rhombus or diamond I think. I hope that this helps!