Asap the points a(4, 0) and b(3, 7) are two vertices of right triangle abc . the hypotenuse of the triangle is ab . point c is on the x-axis what are the coordinates of point c? enter your answers in the boxes.

Explanation:

Since we have given that

A(4,0) and B(3,7) are two vertices of right triangle ABC.

The hypotenuse of the triangle is AB.

Construct a rectangle ABCD with AB as its diagonal ,

With the help of A(4,0) and B(3,7) we can find the coordinate of C ,

Since the x-coordinate of A and C will be same and the y-coordinate of B and C will be same ,

So, the coordinate of C becomes (3,0).

Similarly,

Since the x-coordinate of B and D and the y-coordinate of A and D will be same,

But From C and D we will choose  C as the third coordinate of Triangle because point C is on the x-axis.

the first one is x^2+2x+2

the second one is x^2+4

the last one is x^2-4x+8