Q. Can the sides of a triangle have lengths 3, 6, and 10?Choices:(A) yes(B) no
Triangle Inequality Theorem: To determine if these can be the sides of a triangle, we need to check the triangle inequality theorem. This theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Check Side Lengths: Check if 3 + 6 > 10. Calculation: 3+6=9, which is not greater than 10.