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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 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=

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Riia

Center is (h,k) and point E is (x,y) . We have to find the length of the legs which are used to derive the standard formula of circle .

The length base of the right triangle is (x-h) units.And the length of the right triangle is (y-k) units .

And that's the required lengths of the legs.

Therefore correct options are fourth and last options .

aksnkj

The length of the segment DF is (x - h), the length of the segment EF is (y - k), and the length of the segment DE is 'r' which is the radius of the circle and this can be determined by using the given data.

Given:

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

Right-angled triangle:

The following steps can be used in order to determine the lengths of the sides of the right triangle that is formed:

  • Step 1 - The given coordinates of the right triangle are D(h,k), and E(x,y).
  • Step 2 - The length of the segment DF is (x - h).
  • Step 3 - The length of the segment EF is (y - k).
  • Step 4 - The length of the segment DE is 'r' which is the radius of the circle.

Therefore, the correct options are D) and G).

For more information about the right triangle, refer to the link given below:

https://brainly.com/question/11833983

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