87BCD Targeted Instruction 6

Front

What is a right triangle?

Back

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

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): a² + b² = c².

Front

How do you determine if a set of sides can form a right triangle?

Back

To determine if a set of sides can form a right triangle, check if the squares of the two shorter sides add up to the square of the longest side.

Front

What is the formula to calculate the height of a ladder leaning against a wall?

Back

The height (h) of the ladder can be calculated using the Pythagorean theorem: h = √(l² - d²), where l is the length of the ladder and d is the distance from the wall.

Front

What is the distance formula in a coordinate plane?

Back

The distance between two points (x1, y1) and (x2, y2) is given by the formula: d = √((x2 - x1)² + (y2 - y1)²).

Front

What is the concept of total distance traveled?

Back

Total distance traveled is the sum of all distances covered during a journey, regardless of direction.

Front

What is the relationship between the sides of a square and its diagonal?

Back

The diagonal of a square can be calculated using the formula: d = a√2, where a is the length of a side.

Front

How do you calculate the diagonal of a rectangle?

Back

The diagonal (d) of a rectangle can be calculated using the formula: d = √(length² + width²).

Front

What is the significance of the 90-foot distance in a baseball diamond?

Back

In a baseball diamond, the distance between each base is 90 feet, forming a square layout.

Front

What is the concept of a right triangle in real-life applications?

Back

Right triangles are used in various real-life applications, such as construction, navigation, and design, to calculate heights and distances.