Question

Do the side lengths 4.1,8.2,and 12.2 for a triangle

Answer 1

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 ,
`c^(2)` =
`a^2 + b^2` the triangle is right

- If
`c^2 < a^2 + b^2`

- if
`c^2 > a^2 + b^2` the triangle is obtuse

`4.1^2 + 8.2^2 = 16.81 + 67.24 = 84.05\\12.2^2 = 148.84\\148.84 > 84.05`

The triangle is obtuse.