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Can someone please help with this? I need a full explanation as I want to understand it and not just know they answer:) Thanks!

Can someone please help with this? I need a full explanation as I want to understand-example-1

2 Answers

6 votes
make 6 triangles. each triangle is 24 units it is 144 units
User XVirtusX
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9.1k points
4 votes
we use special traignels
we draw a line like the one with length 8
we get an equilateral triangle
now we draw a line perpendicular to the botttom side to get a right triangl (see attachment)

since equilateral triangles are 60 degrees, and 1/2 of 60 is 30
we have a 30,60, 90 triangle
if the hypotonuse is 2x then the longer leg is x√3 and the shorter leg is x
the longer leg is the apothem
so
hyptonuse=8=2x
4=x
4√3=apothem
so then we gots
height=4√3
base=4
area=1/2 times base times height=1/2 times 4 times 4√3=8√3
there rae 8 of those triangles so
8 times 8√3=64√3

the area is 64√3 square units

Can someone please help with this? I need a full explanation as I want to understand-example-1
User Leatrice
by
7.8k points

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