Q. Can the sides of a triangle have lengths 1, 3, and 7?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 1+3>7: Check if 1+3>7. Calculation: 1+3=4, which is not greater than 7.