1. **Problem:** Calculate the unknown side of the triangle with sides 35 cm and 37 cm. 2. **Formula:** Use the Pythagorean theorem for right triangles: $$c^2 = a^2 + b^2$$ where $c$ is the hypotenuse. 3. **Reasoning:** Since 37 cm is longer than 35 cm, assume 37 cm is the hypotenuse. 4. **Calculation:** Let the unknown side be $x$. Then: $$37^2 = 35^2 + x^2$$ $$1369 = 1225 + x^2$$ $$x^2 = 1369 - 1225 = 144$$ $$x = \sqrt{144} = 12$$ 5. **Answer:** The unknown side is 12 cm. This is the first problem in the user's message. Other problems are not solved as per instructions.