The base of the isosceles triangle is parallel to x-axis and has both end-points on the parabola y=x(10−x) and its vertex belongs to the x-axis. find area of the triangle if the length of its base is 8.

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Step-by-step explanation:

We must determine the x and y intercepts of the parabola:

When y=0, x=0 or x=10

WE know that the point of the triangle base is x and x+8. We can substitute this into the parabola equation because the endpoints are on the parabola.

f(x+8)

f(x+8)

f(x)=f(x+8)

solve for x

Therefore the heigh is f(1):

The area of the triangle is 1/2 base x height:

okay wait before i answer, is this for your points on a graph?

i use my brain for prombles like this maybe you could try it

step-by-step explanation: