Congruent triangles are all the same. Given that the faces of a triangular pyramid are congruent then all its faces are the same. It is also good to note that this pyramid has 4 faces. Given that the surface area of the pyramid is 372m^2, the area of one face will be:
area=(total area)/(number of faces)
=372/4
=93 m^2
interior angle of n-gon formula: 180 - ( 360 / n)
a 30 sided polygon, so in this case n = 30
so
interior angle = 180 - ( 360 / 30)
interior angle = 180 - 12
interior angle = 168
answer
168 degrees
You divide by the 2x by 5 and thats your answer :)
SR =sin (angle) = opposite leg/ hypotenuse
sin(52) = SR/ 7.6
SR = 7.6 x sin(52)
SR = 5.988 ( round answer as needed.)
QR = cos(angle) = adjacent leg / hypotenuse
Cos(52) = QR/ 7.6
QR = 7.6 x cos(52)
QR = 4.679. ( round answer as needed).
Angle S = 180 - 90 -52 = 38 degrees
Answer:

And since we know the surface area 326.7 in^2 we can solve for the value of r like this:

And replacing we got:

And the best answer would be:
5.1 in
Step-by-step explanation:
For this case we need to use the formula for the surface area of a sphere given by:

And since we know the surface area 326.7 in^2 we can solve for the value of r like this:

And replacing we got:

And the best answer would be:
5.1 in