Answer:
Step-by-step explanation:
Three line segments can form a triangle if the length of the longest segment is greater than the sum of the lengths of the shorter segments.
4.1 + 8.2 > 12.2
12.3 > 12.2
true
They can form a triangle.
Now if c is the length of the longest side and a and b are the lengths of the shorter sides, then:
- if , [tex]c^{2}[/tex] = [tex]a^2 + b^2[/tex] the triangle is right
- If [tex]c^2 < a^2 + b^2[/tex]
- if [tex]c^2 > a^2 + b^2[/tex] the triangle is obtuse
[tex]4.1^2 + 8.2^2 = 16.81 + 67.24 = 84.05\\12.2^2 = 148.84\\148.84 > 84.05[/tex]
The triangle is obtuse.
