Pythagorean Theorem Practice TEST

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 is expressed as: a² + b² = c².

Tags

CCSS.8.G.B.8

Front

Is the statement 'The Pythagorean Theorem is a² + b² + c²' true or false?

Back

False. The correct statement is a² + b² = c².

Tags

CCSS.8.G.B.8

Front

What is the formula to find the perimeter of a triangle?

Back

The perimeter of a triangle is the sum of the lengths of all its sides. For a triangle with sides a, b, and c, the perimeter P is given by: P = a + b + c.

Tags

CCSS.3.MD.D.8

Front

If a triangle has legs of 3 cm and 4 cm, what is its perimeter?

Back

The perimeter is 3 cm + 4 cm + 5 cm = 12 cm.

Tags

CCSS.3.MD.D.8

Front

How do you find the length of the hypotenuse in a right triangle?

Back

Use the Pythagorean Theorem: c = √(a² + b²), where c is the hypotenuse and a and b are the lengths of the other two sides.

Tags

CCSS.8.G.B.8

Front

What is the length of the hypotenuse if the legs are 3 cm and 4 cm?

Back

Using the Pythagorean Theorem: c = √(3² + 4²) = √(9 + 16) = √25 = 5 cm.

Tags

CCSS.8.G.B.8

Front

What is the diagonal length of a rectangle with a height of 11 inches and a width of 8 inches?

Back

Using the Pythagorean Theorem: d = √(11² + 8²) = √(121 + 64) = √185 ≈ 13.6 inches.

Tags

CCSS.8.G.B.8

Front

What is the distance formula derived from the Pythagorean Theorem?

Back

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

Tags

CCSS.HSG.GPE.B.7

Front

If the direct distance between two points is 7.2 km, what can you infer about the triangle formed by these points?

Back

The distance represents the length of the hypotenuse in a right triangle formed by the horizontal and vertical distances between the two points.

Tags

CCSS.8.G.B.8

Front

What is the relationship between the sides of a right triangle?

Back

In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Tags

CCSS.8.G.B.8