Pythagorean Theorem

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: c² = a² + b².

Tags

CCSS.8.G.B.8

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. They are usually referred to as 'a' and 'b' in the Pythagorean Theorem.

Front

If a = 3 and b = 4, what is c?

Back

c = 5 (Using the Pythagorean Theorem: c² = a² + b² => c² = 3² + 4² => c² = 9 + 16 => c² = 25 => c = 5).

Tags

CCSS.8.G.B.8

Front

Can the lengths 8, 15, and 17 form a right triangle?

Back

Yes, because 8² + 15² = 64 + 225 = 289 = 17².

Tags

CCSS.8.G.B.8

Front

What is the formula to find the length of the hypotenuse?

Back

The formula to find the length of the hypotenuse (c) in a right triangle is c = √(a² + b²).

Tags

CCSS.8.G.B.8

Front

Is the statement 'c² = a² - b²' true or false?

Back

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

Tags

CCSS.8.G.B.8

Front

If a = 5 and c = 13, what is b?

Back

b = 12 (Using the Pythagorean Theorem: c² = a² + b² => 13² = 5² + b² => 169 = 25 + b² => b² = 144 => b = 12).

Tags

CCSS.8.G.B.8

Front

What is a right triangle?

Back

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

Tags

CCSS.4.G.A.2

Front

If a = 6 and b = 8, what is the area of the triangle formed?

Back

Area = 1/2 * base * height = 1/2 * 6 * 8 = 24 square units.

Tags

CCSS.6.G.A.1

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