# Find the area of triangle in parabola #x^2=8y#?

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Let #A(x_1, y_1), B(x_2,y_2),C(x_3,y_3)# lie on the parabola #x^2=8y# .

Show that the area of #DeltaABC# is

#1/16(x_1-x_2)(x_2-x_3)(x_3-x_1)#

Let

Show that the area of

See below.

but

so

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To find the area of a triangle formed by a parabola, (x^2 = 8y), you'll need to specify the points of intersection between the parabola and the lines forming the triangle. Once you have these points, you can use the formula for the area of a triangle formed by three points in a coordinate plane, typically known as the Shoelace Formula or the Gauss's Area Formula.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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