Question

Create a random triangle, △ ABC. Record the lengths of its sides.

Answer 1

To create a random triangle △ ABC, sides AB = 7 cm, BC = 8 cm, and CA = 10 cm are chosen, ensuring they follow the triangle inequality theorem, confirming the creation of a valid triangle.

Step-by-step explanation:

To create a random triangle △ ABC and record the lengths of its sides, we can choose any three lengths that satisfy the triangle inequality theorem, where the sum of the lengths of any two sides must be greater than the length of the third side. Let's select sides with the following lengths:

• AB = 7 cm
• BC = 8 cm
• CA = 10 cm

Now that we have the sides, we can ensure their validity by confirming the triangle inequality theorem. Since 7 cm + 8 cm > 10 cm, 7 cm + 10 cm > 8 cm, and 8 cm + 10 cm > 7 cm, the sides chosen form a valid triangle.

For further calculations, such as finding the area or the angles of the triangle, additional steps such as using the Pythagorean theorem (in case of a right-angled triangle) or trigonometric relationships would be required.