Pythagorean Theorem & Converse

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). Formula: 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

How can you determine if three side lengths form a right triangle?

Back

Use the Pythagorean Theorem: If a² + b² = c² holds true for the three sides, then they form a right triangle.

Tags

CCSS.8.G.B.8

Front

What is the converse of the Pythagorean Theorem?

Back

The converse states that if a triangle has side lengths a, b, and c, and a² + b² = c², then the triangle is a right triangle.

Tags

CCSS.8.G.B.8

Front

What are the side lengths of a 5-12-13 triangle?

Back

5, 12, and 13 are the side lengths of a right triangle.

Tags

CCSS.8.G.B.8

Front

What type of triangle is formed by sides 20, 21, and 28?

Back

The triangle with sides 20, 21, and 28 is an acute triangle.

Tags

CCSS.4.G.A.2

Front

What is the formula to find the length of the diagonal of a rectangle?

Back

The length of the diagonal (d) can be found using the formula: d = √(length² + width²).

Tags

CCSS.8.G.B.7

Front

If a triangle has sides 13, 80, and 81, does it form a right triangle?

Back

No, the sides 13, 80, and 81 do not form a right triangle.

Tags

CCSS.8.G.B.8

Front

What is an acute triangle?

Back

An acute triangle is a triangle where all three angles are less than 90 degrees.

Tags

CCSS.4.G.A.2