Triangles SC p.III (Honors)

Front

What is a triangle?

Back

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry.

Front

What are the different types of triangles based on their sides?

Back

The different types of triangles based on their sides are: Equilateral (all sides equal), Isosceles (two sides equal), and Scalene (all sides different).

Front

What are the different types of triangles based on their angles?

Back

The different types of triangles based on their angles are: Acute (all angles less than 90°), Right (one angle equal to 90°), and Obtuse (one angle greater than 90°).

Front

What is the Pythagorean theorem?

Back

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). It can be expressed as: a² + b² = c².

Front

How do you calculate the area of a triangle?

Back

The area of a triangle can be calculated using the formula: Area = 1/2 * base * height.

Front

What is the relationship between the sides of a right triangle?

Back

In a right triangle, the lengths of the sides must satisfy the Pythagorean theorem. If a and b are the lengths of the legs and c is the length of the hypotenuse, then a² + b² = c².

Front

What is the simplified form of √800?

Back

The simplified form of √800 is 20√2.

Front

How can you determine if three lengths can form a triangle?

Back

To determine if three lengths can form a triangle, the triangle inequality theorem must be satisfied: the sum of the lengths of any two sides must be greater than the length of the third side.

Front

What is the formula for the perimeter of a triangle?

Back

The perimeter of a triangle is calculated by adding the lengths of all three sides: Perimeter = a + b + c.

Front

What is an altitude in a triangle?

Back

An altitude in a triangle is a perpendicular segment from a vertex to the line containing the opposite side.