12/02 Warm-Up (5.6)

Front

What is the Triangle Inequality Theorem?

Back

The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Front

If two sides of a triangle are 5 in and 16 in, what is the minimum possible length of the third side?

Back

The minimum possible length of the third side is 11 in, calculated as 16 in - 5 in + 1.

Front

If two sides of a triangle are 5 in and 16 in, what is the maximum possible length of the third side?

Back

The maximum possible length of the third side is 21 in, calculated as 5 in + 16 in - 1.

Front

What is the range of possible lengths for the third side of a triangle with sides 5 in and 16 in?

Back

The range of possible lengths for the third side is 11 in < x < 21 in.

Front

What does it mean for a triangle to be valid?

Back

A triangle is valid if the lengths of its sides satisfy the Triangle Inequality Theorem.

Front

What is a scalene triangle?

Back

A scalene triangle is a triangle in which all three sides have different lengths.

Front

What is an isosceles triangle?

Back

An isosceles triangle is a triangle that has at least two sides of equal length.

Front

What is an equilateral triangle?

Back

An equilateral triangle is a triangle in which all three sides are of equal length.

Front

What is the formula for the perimeter of a triangle?

Back

The perimeter of a triangle is the sum of the lengths of its sides: P = a + b + c.

Front

What is the area formula for a triangle?

Back

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