A triangle has side lengths of 6, 8, and 9. What type of triangle is it?
To determine the type of triangle, we need to compare the lengths of its sides. Here are the steps to follow:
1. Identify the lengths of the three sides: In this case, the lengths are 6, 8, and 9.
2. Compare the side lengths: Begin by comparing the two shorter sides. In this case, the lengths 6 and 8 are different, so the triangle is not an isosceles triangle.
3. Continue comparing the side lengths: Next, compare the sum of the two shorter sides to the length of the longest side. If the sum of the two shorter sides is greater than the length of the longest side, then the triangle is a valid triangle.
In this case, the sum of the two shorter sides 6 and 8 is 14, and it is greater than the length of the longest side, which is 9. Therefore, the triangle is a valid triangle.
4. Determine the triangle type: Now, based on the lengths of the sides, we can classify the triangle. In this case, since all three sides have different lengths, the triangle is a scalene triangle.
Therefore, the triangle with side lengths 6, 8, and 9 is classified as a scalene triangle.