Gerry wants to construct a triangle with segments that are 4, 6, and 11 inches long. Is his triangle possible? Explain how you know.

No

Step-by-step explanation:

Because, the Pythagorean Inequality Theorem states that the two smallest angles should add up to be more than the third angle.

4+6=10  

11 is bigger than 10, still.

Therefore, no the triangle is not possible.

Sample Response: No, the triangle is not possible. The triangle inequality rule states the sum of any two sides must be greater than the third side. 6 + 4 is 10, which is less than 11.

Step-by-step explanation:

it was cracked on edge

step-by-step explanation:

assume that you have 3 different side lengths.   apply the pythagorean theorem here:   square each of the two shortest sides; call them a and b, so that their squares are a² and b².   also square the longest side, calling the result c².

now, if a² + b² = c² is true, the triangle is a right triangle; otherwise it is not a right triangle.