Perimeter of triangle and pentagon are equalfind the ratio of there areas

if we consider triangle to be equilateral
then,
ratio would be 25:36
11 years agoHelpfull: Yes(10) No(4)
let each side of equilteral triangle =a
each side of regular polygon = b
so 3a=5b
a/b=5/3
area of equilateral triangle= (a^2*3^1/2)/4
area of 5 equilterl triangles forming the pentagon is = 5*( b^2* 3^1/2 )/4
so ratios of areas =a^2/5*b^2 = 25/9*5=5/9 =5:9
11 years agoHelpfull: Yes(9) No(0)
1:1,
soln for any fig if perimeter will be same then area will be same
11 years agoHelpfull: Yes(4) No(20)
which is the corect ans friends?
11 years agoHelpfull: Yes(2) No(2)
it will be 5:9 if traingle is equilateral and pentagone is regular ie all sides are equal
11 years agoHelpfull: Yes(2) No(1)
Considering Triangle with side lengths a,b,c
Regular pentagon with side x
Now,
a+b+c=5x
now calculate the ratio of areas:
area of pentagon= root3*x^2
area of triangle = root(s(s-a)(s-b)(s-c))
We get,
ratio
s*s*root(s-a)(s-b)(s-c)/root3 * x * x
now put the value of x= (a+b+c)/5
s=(a+b+c)/2
We get;
25 root(s-a)(s-b)(s-c)/4 root3
11 years agoHelpfull: Yes(1) No(4)
kundan can u xpln it clearly?
11 years agoHelpfull: Yes(1) No(0)
what is the right answer for this question?
11 years agoHelpfull: Yes(0) No(0)
the area of equilateral triangle is 1.732p^2/36
the area of pentagon is 1.72p^2/25
dividing we get 100/9
11 years agoHelpfull: Yes(0) No(3)
if we consider triangle and pentagon to be equilateral
the ratio is_ 1 : 3^(1/2)
11 years agoHelpfull: Yes(0) No(0)

Perimeter of triangle and pentagon are equalfind the ratio of there areas??