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!
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!
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