What is the ratio of field that is in the
shape of an equilateral triangle of side
80 m to a square shaped field where
diagonal length is also 80m?
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Answer:
ratio of perimeter =240/160√2 =3/2√2
ratio of area = 1600√3/3200 =√3/2
Step-by-step explanation:
perimeter of triangle =3a =3×80=240
diagnosis of square =80
by Pythagoras theorem
80^2=2a^2 =a^2=3200
a=40√2
perimeter of square =4a
4×40√2 =160√2
area of triangle =√3/4×a^2 = 1600√3
area of square =a^2 =3200
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