GVMS Retake Pythagorean Theorem

GVMS Retake Pythagorean Theorem

Assessment

Flashcard

Mathematics

8th Grade

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

Student preview

quiz-placeholder

15 questions

Show all answers

1.

FLASHCARD QUESTION

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.

2.

FLASHCARD QUESTION

Front

What type of triangle does the Pythagorean Theorem apply to?

Back

The Pythagorean Theorem ONLY works on right triangles.

3.

FLASHCARD QUESTION

Front

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

Back

5 feet (using the Pythagorean Theorem: 3² + 4² = 9 + 16 = 25; √25 = 5).

4.

FLASHCARD QUESTION

Front

What is the distance from the base of the wall to the bottom of a ladder leaning against it if the ladder is 10 feet long and the height it reaches is 9 feet?

Back

4 feet (using the Pythagorean Theorem: 10² = 9² + b²; 100 = 81 + b²; b² = 19; b = √19 ≈ 4.36 feet).

5.

FLASHCARD QUESTION

Front

In a right triangle, if one leg is 6 inches and the hypotenuse is 10 inches, what is the length of the other leg?

Back

8 inches (using the Pythagorean Theorem: 6² + b² = 10²; 36 + b² = 100; b² = 64; b = 8).

6.

FLASHCARD QUESTION

Front

What is the formula to find the length of the hypotenuse in a right triangle?

Back

c = √(a² + b²), where c is the hypotenuse and a and b are the other two sides.

7.

FLASHCARD QUESTION

Front

If a right triangle has legs of lengths 8 cm and 15 cm, what is the length of the hypotenuse?

Back

17 cm (using the Pythagorean Theorem: 8² + 15² = 64 + 225 = 289; √289 = 17).

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Google

Continue with Google

Email

Continue with Email

Classlink

Continue with Classlink

Clever

Continue with Clever

or continue with

Microsoft

Microsoft

Apple

Apple

Others

Others

Already have an account?