What Does It Mean When A Triangle Is Obtuse?

How do you know if a triangle is acute or obtuse by side lengths?

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 classify a triangle by its side lengths?

Use the side lengths to classify the triangle as acute, right, or obtuse. Classify the triangle as acute, right, or obtuse. Compare the square of the length of the longest side with the sum of the squares of the lengths of the two shorter sides.

How do you know if the side lengths make a triangle?

All you have to do is use the Triangle Inequality Theorem, which states that the sum of two side lengths of a triangle is always greater than the third side. If this is true for all three combinations of added side lengths, then you will have a triangle.

Can 1 acute and 2 obtuse form a triangle?

Since a triangle’s angles must sum to 180° in Euclidean geometry, no Euclidean triangle can have more than one obtuse angle. Acute and obtuse triangles are the two different types of oblique triangles — triangles that are not right triangles because they have no 90° angle.

Is it possible to have a right obtuse triangle?

A right triangle cannot be obtuse because of the sizes of the angles therein.

What kind of triangle has three equal sides?

equilateral triangleEquilateral. An equilateral triangle has three equal sides and angles. It will always have angles of 60° in each corner.

What does it mean when a person is obtuse?

Obtuse, which comes to us from the Latin word obtusus, meaning “dull” or “blunt,” can describe an angle that is not acute or a person who is mentally “dull” or slow of mind. … Get Word of the Day delivered to your inbox!

What is the difference between a right acute and obtuse triangle?

In a right triangle, one of the angles is a right angle—an angle of 90 degrees. A right triangle may be isosceles or scalene. In an obtuse triangle, one angle is greater than a right angle—it is more than 90 degrees. … In an acute triangle, all angles are less than right angles—each one is less than 90 degrees.

What are the sides of an acute triangle?

Any triangle in which the Euler line is parallel to one side is an acute triangle. Acute triangles can be isosceles, equilateral, or scalene. The longest side of an acute triangle is opposite the largest angle.

Does 9 12 15 form a right triangle?

Explanation: By virtue of the Pythagorean Theorem, in a right triangle the sum of the squares of the smaller two sides equals the square of the largest side. Only 9, 12, and 15 fit this rule.

How do you know if a triangle is 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.

What are 3 characteristics of an obtuse triangle?

Obtuse Angled Triangle Properties The sum of the two angles other than the obtuse angle is less than 90 degrees. The side opposite to the obtuse angle is the longest side of the triangle. An obtuse triangle will have one and only one obtuse angle. The other two angles are acute angles.

What is a right obtuse triangle?

A right triangle has one angle that’s 90° and a corner that looks like an L. Obtuse triangles have one angle that’s greater than 90°. In acute triangles, all the angles are less than 90°.

How do I find the missing length of a triangle?

Given two sidesif leg a is the missing side, then transform the equation to the form when a is on one side, and take a square root: a = √(c² – b²)if leg b is unknown, then. b = √(c² – a²)for hypotenuse c missing, the formula is. c = √(a² + b²)

Can a triangle be obtuse and right?

A triangle cannot be right-angled and obtuse angled at the same time. Since a right-angled triangle has one right angle, the other two angles are acute. Therefore, an obtuse-angled triangle can never have a right angle; and vice versa. The side opposite the obtuse angle in the triangle is the longest.

What are characteristics of a triangle?

Properties of a triangle A triangle has three sides, three angles, and three vertices. The sum of all internal angles of a triangle is always equal to 1800. This is called the angle sum property of a triangle. The sum of the length of any two sides of a triangle is greater than the length of the third side.