The sum of the intereior angles for a regular polygon with n side is 180(n-2)
so pentaon is 5 sides, n=5
180(5-2)=180(3)=540 degrees
the sum of it's interior angles is 540 degrees
11.
draw diagram
we gotss a right triangle
remember, for any right triangle if the legs are a and b and hytponuse is c then
a²+b²=c²
hypotnuse is longest side
in this case, hytponuse is the diagonal
teh legs are 40 and 24
the hypotnuse is the diagonal
40²+24²=c²
1600+576=c²
2176=c²
sqrt both sides
8√34=c
aprox
c≈46.64
rounded
c=46.6ft
so pentaon is 5 sides, n=5
180(5-2)=180(3)=540 degrees
the sum of it's interior angles is 540 degrees
11.
draw diagram
we gotss a right triangle
remember, for any right triangle if the legs are a and b and hytponuse is c then
a²+b²=c²
hypotnuse is longest side
in this case, hytponuse is the diagonal
teh legs are 40 and 24
the hypotnuse is the diagonal
40²+24²=c²
1600+576=c²
2176=c²
sqrt both sides
8√34=c
aprox
c≈46.64
rounded
c=46.6ft