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 can be expressed as: a² + b² = c².

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

What is the hypotenuse in a right triangle?

Back

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

Front

If a triangle has sides of lengths 3, 4, and 5, is it a right triangle?

Back

Yes, because 3² + 4² = 5² (9 + 16 = 25).

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

Front

Can the lengths 15, 12, and 9 form a right triangle?

Back

Yes, because 9² + 12² = 15² (81 + 144 = 225).

Tags

CCSS.8.G.B.8

Front

What does it mean to simplify a radical?

Back

To simplify a radical means to express it in its simplest form, removing any perfect square factors.

Front

Solve for x: x² = 119. What is x?

Back

x = √119.

Tags

CCSS.8.EE.A.2

Front

Is the statement 'Side c on a right triangle is ALWAYS the longest' true or false?

Back

True.

Front

Solve for x: x² = 88. What is x?

Back

x = 2√22.

Tags

CCSS.8.EE.A.2