Question

Zachary says a triangle can have sides with lengths 11 in., 7 in., and 3 in. because 3+11 > 7 and 7+11 > 3. Explain Zachary's error.

a) Zachary is correct.
b) Zachary is incorrect because the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
c) Both A and B is correct
d) None

Answer 1

Zachary is incorrect because the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Step-by-step explanation:

Zachary is incorrect because the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. In this case, Zachary's claim that a triangle can have sides with lengths 11 in., 7 in., and 3 in. is incorrect because 3 + 11 is not greater than 7, which violates the triangle inequality theorem. According to the theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. For example, in this case, 3 + 7 is not greater than 11, and 3 + 11 is not greater than 7, so these lengths do not form a valid triangle.