Quick Flashcard over Area,Perimeter, and Inequalities (11/13)

Front

What is the formula for calculating the perimeter of a triangle?

Back

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

Front

What is the definition of a triangle?

Back

A triangle is a polygon with three edges and three vertices.

Front

What are the conditions for three lengths to form a triangle?

Back

The sum of the lengths of any two sides must be greater than the length of the third side (Triangle Inequality Theorem).

Front

What is the formula for calculating 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 an acute triangle?

Back

An acute triangle is a triangle where all three interior angles are less than 90 degrees.

Front

What is an obtuse triangle?

Back

An obtuse triangle is a triangle that has one interior angle greater than 90 degrees.

Front

What is a right triangle?

Back

A right triangle is a triangle that has one interior angle equal to 90 degrees.

Front

How do you determine if a triangle is right, acute, or obtuse using side lengths?

Back

Use the Pythagorean theorem: if a^2 + b^2 = c^2, it's a right triangle; if a^2 + b^2 > c^2, it's acute; if a^2 + b^2 < c^2, it's obtuse.

Front

What is the significance of the longest side in a triangle?

Back

The longest side of a triangle is opposite the largest angle and is crucial for determining the type of triangle.

Front

What units are used to measure area?

Back

Area is measured in square units, such as square inches (in²), square feet (ft²), or square yards (yd²).