Grade 11Discuss with colleagues and IITians
if the length of diagonal of regular pentagon is b and side length is a,prove that a^2/b^2+b^2/a^2=3
if the length of diagonal of regular pentagon is b and side length is a,prove that a^2/b^2+b^2/a^2=3
1 Answer
Arun
consider right triangle AOB
angle OAB =54 degree
sin54=b/2a
b=2asin54
sub in eq.
a2/(4a2sin254) + (4a2sin254)/a2 =3
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