Tue classification of each triangle length according to the give types of triangle would be as follows:
Acute: 12, 16and 18
3.2, 6 and 6.6
Obtuse: 5.1, 8.5 and 11.9
0.72, 1.75 and 2.17
9, 16 and 23.
Right: 6.3,8.4 and 10.5
How to classify the given lengths into the type of triangle it belongs to?
To classify the give lengths the following rules should be obeyed:
1.) if the sum of the squares of the two shorter sides of a triangle is greater than the square of the longest side, the triangle is acute.
2.) if the sum of the squares of the two shorter sides of a triangle is smaller than the square of the longest side, the triangle is obtuse.
3.).if the sum of the squares of the two shorter sides of a triangle is equal to the square of the longest side, the triangle is right.
Therefore,
3.2, 6 and 6.6
- Obtuse: 5.1, 8.5 and 11.9
0.72, 1.75 and 2.17
9, 16 and 23.