8th Grade The Pythagorean Theorem Quiz: 10 Questions with Explanations

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This pythagorean theorem quiz for 8th Grade covers the pythagorean theorem (Common Core 8.G.B.6, 8.G.B.7), with a free PDF to print.

Pick the best answer for each of the 10 questions about the Pythagorean theorem, its converse and applications in two and three dimensions (Common Core 8.G.B.6 and 8.G.B.7). Read each question carefully, then read the explanation to learn from any mistake.

Grade 8 · Common Core State Standards: 8.G.B.6, 8.G.B.7

Pythagorean theorem quiz: 10 questions

Question 1
A right triangle has legs 9 and 40. What is the hypotenuse?

Question 2
A right triangle has hypotenuse 25 and one leg 7. What is the other leg?

Question 3
815?
A right triangle.

What is the hypotenuse?

Question 4
Which set of sides forms a right triangle?

Question 5
? ft9 ft15 ft
A ladder leaning on a wall.

How high up the wall does the ladder reach?

Question 6
What is the diagonal of a square with side 5, to the nearest tenth?

Question 7
A TV is 16 inches by 12 inches. What is its diagonal?

Question 8
424?
A box.

What is the space diagonal of this box (edges 4, 2 and 4)?

Question 9
The Pythagorean theorem is true only for

Question 10
A hiker walks 6 miles east and 8 miles north. How far is she from the start in a straight line?

Remember

Remember
  • \(a^{2} + b^{2} = c^{2}\), where \(c\) is the hypotenuse.
  • To find a leg: \(a^{2} = c^{2} – b^{2}\).
  • Converse: if \(a^{2} + b^{2} = c^{2}\), the triangle has a right angle.
  • Common triples: 3-4-5, 5-12-13, 8-15-17 and their multiples.
  • The theorem works in 3D: the space diagonal satisfies \(d^{2} = a^{2} + b^{2} + c^{2}\).

How to use this pythagorean theorem quiz

Answer each question, read the explanation that appears, and keep track of your score. A score of 8 out of 10 or more means you are ready for the test.

Download the pythagorean theorem quiz as a PDF with the button below and keep it with your notes.

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8th Grade The Pythagorean Theorem Quiz: 10 Questions with Explanations

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