4) ixis Can the sides of a triangle have lengths 17,6 , and 20 ? yes no Submit

To determine if three lengths can form a triangle, you can use the triangle inequality theorem. This means that the sum of the lengths of any two sides must be greater than the length of the third side. For your lengths: 17 + 6 = 23 (which is greater than 20), 17 + 20 = 37 (which is greater than 6), and 6 + 20 = 26 (which is greater than 17). Hence, yes, these lengths can indeed form a triangle! Fun fact! Ancient Greeks were the first to formalize these rules for triangles, laying a foundation for what would become modern geometry. The amazing mathematician Pythagoras often explored the relationships between triangle sides, paving the way for discoveries that effect everything from architecture to physics today!