TEST #5 Review-Pythagorean Theorem

Front

What does the Pythagorean Theorem state?

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). This can be expressed as: c² = a² + b².

Front

What is the formula to find the area of a square?

Back

The area of a square is calculated using the formula: Area = side².

Front

If the lengths of two sides of a right triangle are 8 and 15, what is the length of the hypotenuse?

Back

Using the Pythagorean Theorem: c² = 8² + 15²; c² = 64 + 225; c² = 289; c = √289 = 17.

Front

What is the relationship between the areas of squares constructed on the sides of a right triangle?

Back

The sum of the areas of the squares on the two shorter sides is equal to the area of the square on the hypotenuse.

Front

How do you calculate the diagonal of a rectangle?

Back

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

Front

What is the height of an isosceles triangle if the base is 10 and the equal sides are 13?

Back

Using the Pythagorean Theorem, the height can be found by splitting the triangle into two right triangles. Height = √(13² - 5²) = √(169 - 25) = √144 = 12.

Front

What is the perimeter of a square?

Back

The perimeter (P) of a square is calculated using the formula: P = 4 × side.

Front

If the length of a rectangle is 15 inches and the width is 8 inches, what is the area?

Back

Area = length × width = 15 × 8 = 120 square inches.

Front

What is the distance formula in a coordinate plane?

Back

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

Front

What is the definition of a right triangle?

Back

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