classify the triangle as a scalene,isoceles or equilateral and acute right or obtuse
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To classify a triangle, you need to examine its properties including the lengths of its sides and the measures of its angles. Here's a step-by-step process to determine the classification of a triangle:
1. Measure the lengths of the sides: A scalene triangle has all three sides of different lengths, an isosceles triangle has two sides of equal length, and an equilateral triangle has all three sides of equal length.
2. Measure the angles: An acute triangle has all three angles measuring less than 90 degrees, a right triangle has one angle measuring exactly 90 degrees, and an obtuse triangle has one angle measuring greater than 90 degrees.
By evaluating both the side lengths and angle measures, you can classify the triangle as follows:
- Scalene Triangle: A triangle with all three sides of different lengths.
- Isosceles Triangle: A triangle with two sides of equal length.
- Equilateral Triangle: A triangle with all three sides of equal length.
- Acute Triangle: A triangle with all three angles measuring less than 90 degrees.
- Right Triangle: A triangle with one angle measuring exactly 90 degrees.
- Obtuse Triangle: A triangle with one angle measuring greater than 90 degrees.
By combining the information from the lengths of the sides and the measures of the angles, you can determine the specific classification of the triangle.