Due soon will give brainliest

c. 4 cm, 6 cm, 10 cm

Step-by-step explanation:

To represent a right triangle, you would need to use the Pythagorean theorem to find out which one makes up a right triangle and which one doesn't.  6^2 and 8^2 together make up 100 or 10^2 in which A isn't your choice.  12^2 and 35^2 together make up 1369 or 37^2 in which B also isn't your choice.  10^2 and 24^2 together make up 676 or 26^2 in which D isn't your choice as well.  The final option C makes up 7.21 when square rooted in which it is not represented by the side lengths of a right triangle.

answer:   the paragraph proof is mentioned below.

step-by-step explanation:

given: in a δxwy where

such that, ∠wzx ≅ ∠yzx and zw≅zy

we have to prove that: segment zx is a perpendicular bisector of segment wy.

prove: since, zw≅zy ⇒ ∠wzy is a supplementary angle.

then, ∠wzy= 180°

⇒∠wzx + ∠yzx = 180° ( because xz divides ∠wzy into two parts)

but, ∠wzx ≅ ∠yzx ( given)

⇒∠wzy+∠wzy=180° ( by substitution)

⇒2∠wzy=180°

⇒∠wzy=90°

⇒∠wzy=∠yzx =90°

therefore, xz⊥wy where wz=zy

⇒zx is a perpendicular bisector of wy.