Answer:
The lengths do form a triangle and it is a right triangle.
Step-by-step explanation:
Part I:
To find out if 3 segment lengths form a triangle, you must verify that the sum of the two SMALLER sides (6+8) is GREATER than the longest side (10). That is true for this case. We have a triangle
Part II:
To find out the type of triangle, we must incorporate the Pythagorean theorem:
- If [tex]c^2 = a^2 + b^2\\[/tex] then it is a right triangle.
- Substitute the values. (c=10, b=8, 6=a)
- [tex]10^2 = 6^2 + 8^2\\100 = 100[/tex]
