y miles and a triangle

[shibal]

a cornfield is like a right triangle. it has hypotenuse equal to y and height equal to y/2. If y^2=2, what is the area of the field?

[maihuna]

this is a wrong question if hyp = underroot 2 and height =2?????

[shibal]

i edit the question.... typo... sorry

[maihuna]

base^2 = hyp^2 - ht^2
y^2 - y^2/4 = (3/4)y^2
base = (3^1/2/2)y

area = (1/2)*(base*height)
= (1/2)*(y/2)*(3^2/2)*y
= (3^1/2))/8)*y^2
= (3^1/2)/8)*2
= (3^1/2)/4

[shibal]

base^2 = hyp^2 - ht^2
y^2 - y^2/4 = (3/4)y^2
base = (3/4)y

area = (1/2)*(base*height)
= (1/2)*(y/2)*(3/4)*y
= 3/16*y^2
= (3/16)*2
= 3/8

nope
OA: [spoiler](3^1/2)/4[/spoiler]

[maihuna]

sorry edited my post