A right triangle has one vertex on the graph of y = x^8, x>0, at (x, y), another at the origin, and the third on the positive y-axis at (0, y), as shown in the figure. Express the area A of the triangle as a function of x.

Area =

Step-by-step explanation:

From the graph attached,

Triangle given is a right triangle.

This triangle ha three vertices (0, y), (x, y) and (0, 0).

Therefore, measure of the base = x units

And measure of the height of the triangle = y units

Area of a triangle =

                             =

Since, y =

Therefore, Area of the triangle =

                                                   =  

Area of the given right triangle is units².

1. 3. can also be expressed as (22/7)

2. -4.5

3. 3.6

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