Pythagorean Theorem-STAAR

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 does 'hypotenuse' mean?

Back

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

Front

If one side of a right triangle is 3 and the other is 4, what is the length of the hypotenuse?

Back

Using the Pythagorean Theorem: 3² + 4² = c²; 9 + 16 = c²; 25 = c²; c = 5.

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 shorter sides equals the square of the longest side (hypotenuse).

Tags

CCSS.8.G.B.8

Front

What does 'further' mean in a mathematical context?

Back

In mathematics, 'further' often refers to a greater distance or extent, or to additional information or steps needed.

Front

Which set of numbers can represent the sides of a right triangle?

Back

A set of numbers (like 3, 4, 5) can represent the sides of a right triangle if they satisfy the Pythagorean Theorem.

Tags

CCSS.8.G.B.8

Front

What is the formula to find the missing side of a right triangle?

Back

To find a missing side, use the formula: a² + b² = c², where c is the hypotenuse.

Tags

CCSS.8.G.B.8

Front

If the hypotenuse is 10 and one side is 6, what is the length of the other side?

Back

Using the Pythagorean Theorem: 6² + b² = 10²; 36 + b² = 100; b² = 64; b = 8.

Tags

CCSS.8.G.B.7

Front

What is the significance of the Pythagorean Theorem in real life?

Back

The Pythagorean Theorem is used in various fields such as construction, navigation, and physics to calculate distances and angles.

Tags

CCSS.8.G.B.8