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

urgent needed. if correct, you will get brainliest.

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 .

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.