Problem 129 of 7
Determine whether side lengths 5, 6, 7 can form a triangle and describe the construction result.
Using a hint is okay. It just tells the trainer to give you a little more review.
Hidden until you reveal it.
use circles/arcs and triangle inequality awareness.
Hidden until you reveal it.
Side lengths must be positive numbers.
Enter your answer
Your answer is equivalent to the expected form.
Walkthrough
Full solution stays hidden until you ask for it.
1. Choose the longest side as the base.
2. Check whether the other two side lengths sum to more than the longest side.
3. If possible, use arcs from base endpoints to locate the third vertex.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Saying all three positive lengths form a triangle.