what is the length of any diagonal of a regular pentagon with a side of 20mm ?
2 answers
what is the length of any diagonal of a regular pentagon with a side of 20mm
first find the size of each interior angle
angle = 180(5-2)/5 = 108°
let the length of the diagonal be x
by cosine law
x^2 = 20^2 + 20^2 -2(20)(20)cos 108°
I am sure you can finish it from there.
angle = 180(5-2)/5 = 108°
let the length of the diagonal be x
by cosine law
x^2 = 20^2 + 20^2 -2(20)(20)cos 108°
I am sure you can finish it from there.