Types of Triangles Flashcards
Testing (25 cards)
What is a triangle?
A triangle is a three-sided polygon.
What are the three types of triangles based on their sides?
Scalene, Isosceles, and Equilateral.
True or False: An equilateral triangle has all sides of different lengths.
False.
Fill in the blank: A triangle with two equal sides is called a __________ triangle.
Isosceles.
What is a scalene triangle?
A triangle with all sides of different lengths.
How many degrees are in the sum of the interior angles of a triangle?
180 degrees.
What type of triangle has one angle greater than 90 degrees?
Obtuse triangle.
What type of triangle has one angle equal to 90 degrees?
Right triangle.
True or False: An isosceles triangle can also be a right triangle.
True.
What is the name of a triangle with all sides and angles equal?
Equilateral triangle.
Fill in the blank: A triangle with all angles less than 90 degrees is called an __________ triangle.
Acute.
Which triangle type has the greatest area for a given perimeter?
Equilateral triangle.
What is the relationship between the sides of a right triangle?
The square of the hypotenuse equals the sum of the squares of the other two sides (Pythagorean theorem).
What distinguishes an acute triangle from an obtuse triangle?
An acute triangle has all angles less than 90 degrees, while an obtuse triangle has one angle greater than 90 degrees.
True or False: All equilateral triangles are also acute triangles.
True.
What defines an isosceles right triangle?
It has one 90-degree angle and two equal sides.
What is the formula for the area of a triangle?
Area = 1/2 * base * height.
Fill in the blank: The longest side of a right triangle is called the __________.
Hypotenuse.
What is a key characteristic of a scalene triangle?
All sides and angles are different.
How can you tell if a triangle is a right triangle?
If it satisfies the Pythagorean theorem (a² + b² = c²).
What type of triangle is formed when two angles are equal?
Isosceles triangle.
True or False: A triangle can have more than one obtuse angle.
False.
What is the name for a triangle with one angle equal to 90 degrees and two sides of equal length?
Isosceles right triangle.
Fill in the blank: The angles in a triangle must add up to __________ degrees.
180.
