Verified answer

Length 7.4 is the side opposite to 30°

so hypotenuse = 2 × 7.4 = 14.8

ans side opposite to 60° = √3/2 × 14.8 = √3 × 7.4

perimeter = 7.4 + 14.8 + 7.4 √3

= 22.2 + 7.4√3 m

= 35.02

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sin 30 = 7.4 / h

h = 7.4 / .5 = 14.8 meter

other side say l =

cos30 = l/h

l = h * cos 30 = 14.8 * sqrt3 / 2.

l = 14.8 * .866

= 12.8

so perimeter = 7.4 + 14.8 + 12. 8 = 35 ans

it is a rt angled triangle.

further, the side opposite to the shortest angle is shortest, thus 7.4 is the side opposite angle of 30*(ht). this gives the base as the next higher side(opposite 60* angle),

ht/base=tan30 or base=ht/tan30=7.4/(1/rt3)=7.4xrt(3)

similarly,ht/hypo=sin30=1/2, or,hypo=2.ht=2x7.4

thus perimeter=ht+base+hypo=7.4+7.4(rt3)+2x7.4=7.4(1+rt3+2)

=7.4x(3+1.732)=7.4x4.732=35.0168 meters answer

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7.4+2*7.4 + sqrt(3)*7.4

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