8.7C - Pythagorean Thm. Find the missing side

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 can be expressed as: a² + b² = c².

Tags

CCSS.8.G.B.8

Front

What does 'a' represent in the Pythagorean Theorem?

Back

In the Pythagorean Theorem, 'a' represents the length of one of the two legs of a right triangle.

Tags

CCSS.8.G.B.8

Front

What does 'b' represent in the Pythagorean Theorem?

Back

In the Pythagorean Theorem, 'b' represents the length of the other leg of a right triangle.

Tags

CCSS.8.G.B.8

Front

What does 'c' represent in the Pythagorean Theorem?

Back

In the Pythagorean Theorem, '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

How do you find the length of the hypotenuse using the Pythagorean Theorem?

Back

To find the length of the hypotenuse (c), you can rearrange the Pythagorean Theorem formula: c = √(a² + b²).

Tags

CCSS.8.G.B.8

Front

How do you find the length of a leg in a right triangle using the Pythagorean Theorem?

Back

To find the length of a leg (a or b), you can rearrange the Pythagorean Theorem formula: a = √(c² - b²) or b = √(c² - a²).

Tags

CCSS.8.G.B.7

Front

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

Back

In a right triangle, the length of the hypotenuse is always greater than the lengths of either leg.

Front

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

Back

Using the Pythagorean Theorem: c = √(3² + 4²) = √(9 + 16) = √25 = 5 cm.

Tags

CCSS.8.G.B.7

Front

If the hypotenuse of a right triangle is 10 m and one leg is 6 m, what is the length of the other leg?

Back

Using the Pythagorean Theorem: b = √(10² - 6²) = √(100 - 36) = √64 = 8 m.

Tags

CCSS.8.G.B.7

Front

What is the formula to find the distance from the base of a ladder to the wall if the ladder forms a right triangle?

Back

The distance from the base of the ladder to the wall can be found using the Pythagorean Theorem: distance = √(length of ladder² - height of wall²).

Tags

CCSS.8.G.B.8