Describing The Characteristics Of A Triangle

1) If the triangle's angles are all less than 90 degrees, what type of triangle is this?

If all of the triangle's angles are less than 90 degrees, it means that the triangle does not have any angles that are equal to or greater than 90 degrees. This indicates that all of the angles in the triangle are acute angles, which are angles that are less than 90 degrees. Therefore, the correct answer is "Acute".

Explanation

If all of the triangle's angles are less than 90 degrees, it means that the triangle does not have any angles that are equal to or greater than 90 degrees. This indicates that all of the angles in the triangle are acute angles, which are angles that are less than 90 degrees. Therefore, the correct answer is "Acute".

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2) If the triangle has 2 sides that are the same and one side that is different, what type of triangle is it?

If a triangle has two sides that are the same and one side that is different, it is classified as an isosceles triangle. In an isosceles triangle, two sides are equal in length, while the third side is of a different length. This type of triangle also has two equal angles opposite the equal sides. Therefore, the given answer "Isosceles" correctly describes the type of triangle with these characteristics.

Explanation

If a triangle has two sides that are the same and one side that is different, it is classified as an isosceles triangle. In an isosceles triangle, two sides are equal in length, while the third side is of a different length. This type of triangle also has two equal angles opposite the equal sides. Therefore, the given answer "Isosceles" correctly describes the type of triangle with these characteristics.

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3) I ama triangle. I have no sides that are the same. What type of triangle am I?

Obtuse

Scalene

Equilateral

A scalene triangle is a triangle in which all three sides are of different lengths. In this question, the triangle described has no sides that are the same, indicating that it is a scalene triangle. This type of triangle is characterized by its uneven sides, making it different from both equilateral and isosceles triangles.

Explanation

A scalene triangle is a triangle in which all three sides are of different lengths. In this question, the triangle described has no sides that are the same, indicating that it is a scalene triangle. This type of triangle is characterized by its uneven sides, making it different from both equilateral and isosceles triangles.

4)

Describe the triangle by its sides

Scalene

Isosceles

Equilateral

Obtuse

Acute

A scalene triangle is a triangle in which all three sides have different lengths. This means that no two sides of the triangle are equal. In other words, the lengths of the sides of the triangle are all different from each other.

Explanation

A scalene triangle is a triangle in which all three sides have different lengths. This means that no two sides of the triangle are equal. In other words, the lengths of the sides of the triangle are all different from each other.

5)

Describe this triangle by its angles

Obtuse

Equilateral

Scalene

Acute

Right

The given answer "Acute" describes the triangle as having all three angles less than 90 degrees. This means that none of the angles in the triangle are obtuse (greater than 90 degrees) or right angles (exactly 90 degrees). The term "acute" specifically refers to triangles with three acute angles, meaning all angles are less than 90 degrees. Therefore, the triangle in question has all three angles less than 90 degrees, making it an acute triangle.

Explanation

The given answer "Acute" describes the triangle as having all three angles less than 90 degrees. This means that none of the angles in the triangle are obtuse (greater than 90 degrees) or right angles (exactly 90 degrees). The term "acute" specifically refers to triangles with three acute angles, meaning all angles are less than 90 degrees. Therefore, the triangle in question has all three angles less than 90 degrees, making it an acute triangle.

6) If I am an equilateral triangle, what do I look like? Draw me on the side and tell what my sides are like.

An equilateral triangle is a type of triangle where all three sides are equal in length. Therefore, if you were an equilateral triangle, you would have three sides that are the same length.

Explanation

An equilateral triangle is a type of triangle where all three sides are equal in length. Therefore, if you were an equilateral triangle, you would have three sides that are the same length.

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7) I am an obtuse triangle. What are my characterisitcs and draw me next to the question.

An obtuse triangle is a triangle that has one angle greater than 90 degrees, which is called the obtuse angle, and two angles that are less than 90 degrees, known as acute angles. The sum of all the angles in a triangle is always 180 degrees. Therefore, in an obtuse triangle, the obtuse angle and the two acute angles together add up to 180 degrees.

Explanation

An obtuse triangle is a triangle that has one angle greater than 90 degrees, which is called the obtuse angle, and two angles that are less than 90 degrees, known as acute angles. The sum of all the angles in a triangle is always 180 degrees. Therefore, in an obtuse triangle, the obtuse angle and the two acute angles together add up to 180 degrees.

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