Find the area of the shaded portion https://flyingeaglesnv.sooschools.com/media/g_geo_2014/8/groupi60.gif

Answer box would only allow this as the answer:
A = x x (square root)x - xxPi

Question

Find the area of the shaded portion https://flyingeaglesnv.sooschools.com/media/g_geo_2014/8/groupi60.gif

Answer box would only allow this as the answer:
A = x x (square root)x - xxPi

jim_thompson5910 · Answer

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jim_thompson5910 · Answer

if we cut the quadrilateral into 2 pieces, we get 2 congruent triangles

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the 120 degree angle is also cut in half

jim_thompson5910 · Answer

this triangle is a 30-60-90 triangle

what is the value of x?

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anonymous · Answer

the x is the hypotenuse and that is 12. cuz the short leg (6) is 1/2 the size of the hypotenuse. right?

jim_thompson5910 · Answer

x is the long leg actually. The hypotenuse is 2*6 = 12

anonymous · Answer

so then the long leg is 6(square root 3)

jim_thompson5910 · Answer

it turns out that x = 6*sqrt(3)

template for a 30-60-90 triangle

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