Question

Using the triangle inequality theory and see picture above determine which three sides form a triangle the triangle is a BNC would it be 88 and 20 or 10 2030 or 10 1520 or four 812

Answer 1

According to the triangle inequality theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

In the given options:
1. 88 + 20 = 108, which is greater than 30. So, sides of lengths 88, 20, and 30 can form a triangle.
2. 10 + 20 = 30, which is equal to 30. So, sides of lengths 10, 20, and 30 cannot form a triangle.
3. 10 + 15 = 25, which is greater than 20. So, sides of lengths 10, 15, and 20 can form a triangle.
4. 4 + 8 = 12, which is less than 12. So, sides of lengths 4, 8, and 12 cannot form a triangle.

Therefore, the sides of lengths 88, 20, and 30 can form a triangle.