Q. Can the sides of a triangle have lengths 2, 6, and 7?Choices:(A) yes(B) no
Check Triangle Inequality: 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 2+6>7: Check if 2+6>7. Calculation: 2+6=8, and 8>7, so this part is true.
Check 2+7>6: Check if 2+7>6. Calculation: 2+7=9, and 9>6, so this part is true too.
Check 6+7>2: Check if 6+7>2. Calculation: 6+7=13, and 13>2, so this part is also true.