Triangle Basics Review

Front

What is the Pythagorean Theorem?

Back

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). Formula: c² = a² + b².

Front

How do you find the length of the diagonal of a rectangle?

Back

Use the Pythagorean Theorem. If the rectangle has width (w) and length (l), the diagonal (d) can be found using d = √(w² + l²).

Front

What are remote interior angles in a triangle?

Back

Remote interior angles are the two angles that are inside the triangle but not adjacent to a given exterior angle.

Front

What is the Triangle Inequality Theorem?

Back

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 7 ft and 13 ft, what is the range of possible lengths for the third side?

Back

The length of the third side must be more than 6 ft but less than 20 ft.

Front

What is the definition of a right triangle?

Back

A right triangle is a triangle that has one angle measuring 90 degrees.

Front

What is the sum of the interior angles of a triangle?

Back

The sum of the interior angles of a triangle is always 180 degrees.

Front

How do you calculate the area of a triangle?

Back

Area = 1/2 × base × height.

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 the definition of an equilateral triangle?

Back

An equilateral triangle is a triangle in which all three sides are of equal length and all three angles are equal (each measuring 60 degrees).