Question

Verify that the segment lengths form a triangle. Is the triangle acute, right, or obtuse? ​

Answer 1

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
  `c^2 = a^2 + b^2\\` then it is a right triangle.
• Substitute the values. (c=10, b=8, 6=a)
• 
  `10^2 = 6^2 + 8^2\\100 = 100`