Pythagorean Theorem Unit Test - 5th Hour

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). It 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, where 'side' is the length of one side of the square.

Front

If the sides of a square are 10 cm, what is its area?

Back

Area = 10 cm × 10 cm = 100 cm².

Front

What is the definition of a hypotenuse in a right triangle?

Back

The hypotenuse is the longest side of a right triangle, opposite the right angle.

Front

How do you calculate the slant height of a pyramid with a square base?

Back

The slant height (l) can be calculated using the formula: l = √(h² + (s/2)²), where 'h' is the height of the pyramid and 's' is the length of a side of the base.

Front

What is the distance formula in a coordinate plane?

Back

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

Front

If Trent walks 40 yards north and 25 yards west, how do you find the distance from his starting point?

Back

Use the Pythagorean Theorem: Distance = √(40² + 25²) = √(1600 + 625) = √2225 ≈ 47.2 yards.

Front

What is a right triangle?

Back

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

Front

What are the legs of a right triangle?

Back

The legs of a right triangle are the two sides that form the right angle.

Front

Which statement is NOT true about the sides of a right triangle?

Back

Side 'a' is always longer than side 'b' is NOT true; the lengths of 'a' and 'b' can vary.