Day 87 - 8.MG.4: Verify Pythagorean Theorem

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, commonly referred to as sides a and b.

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). This is expressed as a² + b² = c².

Tags

CCSS.8.G.B.8

Front

What is a Pythagorean Triple?

Back

A Pythagorean Triple consists of three positive integers a, b, and c, such that a² + b² = c². An example is (3, 4, 5).

Tags

CCSS.8.G.B.8

Front

Is the set of lengths 6, 8, and 10 a right triangle?

Back

Yes, because 6² + 8² = 36 + 64 = 100, which equals 10².

Tags

CCSS.8.G.B.8

Front

What does the term 'hypotenuse' refer to in a right triangle?

Back

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

Front

If a = 5 and b = 12, what is c in the Pythagorean Theorem?

Back

Using the Pythagorean Theorem: c = √(a² + b²) = √(5² + 12²) = √(25 + 144) = √169 = 13.

Tags

CCSS.8.G.B.8

Front

What is the relationship between the sides in the Pythagorean Theorem?

Back

The relationship is expressed as a² + b² = c².

Tags

CCSS.8.G.B.8

Front

Can the lengths 2, 3, and 4 form a right triangle?

Back

No, because 2² + 3² = 4 + 9 = 13, which does not equal 4².

Tags

CCSS.8.G.B.8

Front

What is the formula to find the length of one leg if the hypotenuse and the other leg are known?

Back

If c is the hypotenuse and b is the known leg, then a = √(c² - b²).

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 determine distances and angles.

Tags

CCSS.8.G.B.8