Bellringer Flashcard #5

Front

A playground slide is 15 feet long, and the base of the slide is 12 feet from the base of a ladder. If the ladder is perpendicular to the ground, what is the height, in feet, of the ladder?

Back

9 feet

Front

The diagonal measure of a square tile is 18 inches. What is the side length, in inches, of the tile?

Back

12.7 inches

Front

What is the square root of -36?

Back

6i (imaginary number)

Front

Which is the vertex of the parabola represented by the points (8,1), (-4,-1), (1,3), x=3, x=-1?

Back

(1,3)

Front

A playground slide is 10 feet long, and the base of the slide is 8 feet from the base of a ladder. If the ladder is perpendicular to the ground, what is the height, in feet, of the ladder?

Back

6 feet

Front

What is the Pythagorean theorem?

Back

In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides (a² + b² = c²).

Front

Define a right triangle.

Back

A triangle with one angle measuring 90 degrees.

Front

What is the formula for the area of a triangle?

Back

Area = 1/2 * base * height.

Front

What is an imaginary number?

Back

A number that can be written as a real number multiplied by the imaginary unit 'i', where i = √-1.

Front

What is the distance formula?

Back

Distance = √((x2 - x1)² + (y2 - y1)²).