In an isosceles triangle the length of each equal side is twice the length of the third side The rat...........

Quantitative Aptitude (CGL) Mensuration 3D

In an isosceles triangle, the length of each equal side is twice the length of the third side. The ratio of areas of the isosceles triangle and an equilateral triangle with same perimeter is

30v5 : 100

32v5 : 100

36v5 : 100

42v5 : 100

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Explanation:

h=√((4a)^2−(a)^2)
h=√(16a^2−a^2)
h=√(15a^2)
h=a√15
area=1/2×2a×h
=12×2a×a.√15
perimeter of equilateral triangle is
=4a+4a+2a=10a
each side of triangle =10a/3
area of equilateral triangle
=√3/4 * 10/3 * 10/3 * a^2
25√3*a^2/9
area of isosceles?/area of equilateral?
=1/2×2a×a√15/25√3a^2/9
=36√5:100