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i got

b=8

and h=8^3

and i got an area of about 55.43 units squared, but my teacher marked this as wrong, so i am very confused. a little help would be very appreciated!

 Mar 18, 2015

Best Answer 

 #2
avatar+23252 
+10

If the hypotenuse is 16, then the shorter side leg will be 8 and the longer leg will be 8√3.

Since it's a right triangle, the area will be ½·8·8√3  =  32√3  = 55.43 (approx)

I agree with you!

 Mar 19, 2015
 #1
avatar
0

i meant h= 8^(sqrt(3)) oops

 Mar 18, 2015
 #2
avatar+23252 
+10
Best Answer

If the hypotenuse is 16, then the shorter side leg will be 8 and the longer leg will be 8√3.

Since it's a right triangle, the area will be ½·8·8√3  =  32√3  = 55.43 (approx)

I agree with you!

geno3141 Mar 19, 2015
 #3
avatar+1694 
+5

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 Mar 19, 2015
 #4
avatar
+5

the sides of a 30 60 90 triangles are

x, x√3 and 2x 

the hypotunuse in opposite of the 90.

if hypotunuse = 16 then plug it in 2x and solve for x, you get 8

plug the x=8 in x√3 which equals 8√3, which is one of your sides

the other side is simply 8. solve for the area  1/2(8)(8√3) and you still get 55.43

You are absolutely correct, your teacher done goofed

 Mar 19, 2015

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