Obtuse Scalene
Step-by-step explanation:
Given
Sides of triangle: 6in, 5in and 8in
Required
Classify the triangle by angles and sides
Given that none of the three sides of the triangle are equal; we can conclude that the triangle is a scalene triangle.
The next is to determine what type of scalene triangle it is.... Obtuse or Right angled?
For the triangle to be a right scalene; then one of its angles must be 90 degrees
And for one of its angles to be 90 degrees, the three sides must obey Pythagoras theorem where;
the square of the biggest side must be equal to the sum of the square of the other two sides
In other words;
![8^2 := 6^2 + 5^2](/tpl/images/0698/4560/8ebb3.png)
![64 := 36 + 25](/tpl/images/0698/4560/18672.png)
![64 \neq 61](/tpl/images/0698/4560/3316d.png)
Since, the above condition doesn't apply to the sides of the triangle, then it's safe to conclude that the triangle is an obtuse scalene