How do you classify a triangle by its side lengths?

Classifying Triangles by Sides

1. scalene triangle-a triangle with no congruent sides.
2. isosceles triangle-a triangle with at least 2 congruent sides (i.e. 2 or 3 congruent sides)
3. equilateral triangle-a triangle with exactly 3 congruent sides.
4. NOTE: Congruent sides means that the sides have the same length or measure.

How do you tell if a triangle is a obtuse triangle with side lengths?

When given 3 triangle sides, to determine if the triangle is acute, right or obtuse: 1) Square all 3 sides. 2) Sum the squares of the 2 shortest sides. 3) Compare this sum to the square of the 3rd side.

How do you tell if a triangle is a right triangle with side lengths?

longest side of a triangle is equal to the sum of the squares of the lengths of the other two sides, then the triangle is a right triangle.

How do you know if something is acute obtuse or right?

Acute angles measure less than 90 degrees. Right angles measure 90 degrees. Obtuse angles measure more than 90 degrees.

How do you determine if a triangle is acute or obtuse?

An acute triangle has three angles that each measure less than 90 degrees. An obtuse triangle is a triangle with one angle that is greater than 90 degrees.

Is a triangle acute obtuse or right?

An acute triangle (or acute-angled triangle) is a triangle with three acute angles (less than 90°). An obtuse triangle (or obtuse-angled triangle) is a triangle with one obtuse angle (greater than 90°) and two acute angles.

How do you identify an acute triangle?

To determine whether the triangle is acute, right, or obtuse, add the squares of the two smaller sides, and compare the sum to the square of the largest side. Since this sum is greater, the triangle is acute.

How do you know if a triangle is acute?

An acute triangle has three angles that each measure less than 90 degrees. An obtuse triangle is a triangle with one angle that is greater than 90 degrees. A right triangle is a triangle with one 90 degree angle.

How do you know if a triangle is obtuse acute or Pythagorean?

Since the square of the length of the longest side is the sum of the squares of the other two sides, by the converse of the Pythagorean Theorem, the triangle is a right triangle. A corollary to the theorem categorizes triangles in to acute, right, or obtuse. if c2>a2+b2 then the triangle is obtuse.

What makes a right triangle?

A right triangle consists of two legs and a hypotenuse. The two legs meet at a 90° angle and the hypotenuse is the longest side of the right triangle and is the side opposite the right angle. There are a couple of special types of right triangles, like the 45°-45° right triangles and the 30°-60° right triangle.

Is a right triangle acute?

The right triangle has one 90 degree angle and two acute (< 90 degree) angles.

How do you find the acute and obtuse sides of a triangle?

When given 3 triangle sides, to determine if the triangle is acute, right or obtuse: 1 Square all 3 sides. 2 Sum the squares of the 2 shortest sides. 3 Compare this sum to the square of the 3rd side. More

How do you find the length of a right angled triangle?

If the sides of a right triangle are A, B and C. A being the hypotenuse. So, if the side lengths satisfy this relation, then it is a right – angled triangle. Now, suppose if we increase the size of angle opposite side A. Then length of side A will increase.

What are the characteristics of a right triangle?

A right triangle is characterized as having one 90° angle, a base, height, and hypotenuse. The base and height are the two adjacent sides to the right angle. The hypotenuse is the side opposite the right angle and is the longest of the three. Finding the Area of a Right Triangle

How do you know if a triangle is scalene or acute?

In an obtuse triangle, one angle is greater than a right angle—it is more than 90 degrees. An obtuse triangle may be isosceles or scalene. In an acute triangle, all angles are less than right angles—each one is less than 90 degrees. What does a scalene triangle look like?