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: a² + b² = c².

Tags

CCSS.8.G.B.8

Front

What does 'a' represent in the Pythagorean Theorem?

Back

'a' represents the length of one of the two legs (sides) of a right triangle.

Tags

CCSS.8.G.B.8

Front

What does 'b' represent in the Pythagorean Theorem?

Back

'b' represents the length of the other leg (side) of a right triangle.

Tags

CCSS.8.G.B.8

Front

What does 'c' represent in the Pythagorean Theorem?

Back

'c' represents the length of the hypotenuse, which is the side opposite the right angle in a right triangle.

Tags

CCSS.8.G.B.8

Front

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

Back

Using the Pythagorean Theorem: c² = a² + b² = 3² + 4² = 9 + 16 = 25, so c = 5.

Tags

CCSS.8.G.B.7

Front

Is the statement 'a² + b³ = c⁴' correct?

Back

No, this statement is incorrect. The correct form is a² + b² = c².

Tags

CCSS.8.G.B.8

Front

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

Back

To find a missing side, use the Pythagorean Theorem: a² + b² = c². Rearrange the formula to solve for the missing side.

Tags

CCSS.8.G.B.8

Front

If c = 10 and a = 6, what is b?

Back

Using the Pythagorean Theorem: b² = c² - a² = 10² - 6² = 100 - 36 = 64, so b = 8.

Tags

CCSS.8.G.B.7

Front

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

Back

In a right triangle, the sum of the squares of the two legs equals the square of the hypotenuse.

Tags

CCSS.8.G.B.8

Front

Can the Pythagorean Theorem be used for non-right triangles?

Back

No, the Pythagorean Theorem only applies to right triangles.

Tags

CCSS.8.G.B.8