Answer:
Step-by-step explanation:
- Triangle Inequality Theorem: States that the sum of any two sides of a triangle is greater than the length of the third side;
![A+B>C\\B+C>A\\A+C>B](https://tex.z-dn.net/?f=%20A%2BB%3EC%5C%5CB%2BC%3EA%5C%5CA%2BC%3EB%20)
So for this, we are applying the triangle inequality theorem. If any of the inequalities are not true, then this cannot be a triangle. (Let A = 7.7, B = 4.0, and C = 1.7)
![7.7+4.0>1.7\\11.7>1.7\ \textsf{(true)}\\\\4.0+1.7>7.7\\5.7>7.7\ \textsf{(false)}\\\\7.7+1.7>4.0\\9.4>4.0\ \textsf{(true)}](https://tex.z-dn.net/?f=%207.7%2B4.0%3E1.7%5C%5C11.7%3E1.7%5C%20%5Ctextsf%7B%28true%29%7D%5C%5C%5C%5C4.0%2B1.7%3E7.7%5C%5C5.7%3E7.7%5C%20%5Ctextsf%7B%28false%29%7D%5C%5C%5C%5C7.7%2B1.7%3E4.0%5C%5C9.4%3E4.0%5C%20%5Ctextsf%7B%28true%29%7D%20)
<u>Since the second inequality is false, these lengths cannot form a triangle.</u>
Answer:
correct
in my calculations I giest