To derive the standard formula of a circle, a radius r is constructed as the hypotenuse of a right triangle as shown.

What are the lengths of the sides of the right triangle that is formed? Check all that apply.

h
k
h – k
x – h
x – y
y – h
y – k

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To derive the standard formula of a circle a radius r is constructed as the hypotenuse of a right triangle as shown What are the lengths of the sides of the rig class=

Respuesta :

In the given right triangle point D is (h,k) Point E is (h,y)

For point F the x coordinate will be same as point E

The y coordinate will be same as point D.

The point F coordinate is (x,k)

Distance DF=x-h

EF= y-k

So x-h and y-k are the two distances that apply

The lengths of the right-triangles are x-h and y-k

The sides of the right-triangle are DF and EF

The point D is located at (h,k), while the point E is located at (h,y)

Point F is on the same x coordinate as point E, and it is on the same y coordinate as point D.

So, the coordinate of point F is:

F = (x,k)

And the lengths DF and EF are:

DF=x-h

EF= y-k

Hence, the lengths of the right-triangles are x-h and y-k

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