a square and an equiltral triangle have equal perimeters if the diagonal of the square is 6 root 2 cm then find the area of the triangle
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Step-by-step explanation:
Hope it helps u Sandeep Kumar.. ..
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Step-by-step explanation:
perimeter of square =perimeter of equalateral triangle
4a=3x
given
diagonal of square
=6root2=sideroot2
side=6
from first written equation
4*6=3x
24=3x
x=8
area of triangle=1/2*base*height
as it is equalateral triangle if we take perpendicular bisector of base
it becomes two right angled triangles
hypotenuse^2= (side)^2+side^2
side=sqrt(hypotenuse^2-side^2)
side=sqrt(9-2.25)
=2.6
area=1/2base*height
1/2*3*2.6=1.5*2.6=3.9cm^2~4cm^2
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