Last updated: October 22, 2026 · Written by the Math Made Easy math teachers
Looking for a pythagorean theorem quiz grade 8? Then this Grade 8 quiz on The Pythagorean Theorem and Its Converse asks 10 multiple-choice questions with instant feedback. Ten multiple-choice questions check the Pythagorean Theorem, its converse, and applications such as ladders, screens, and boxes. Work each problem on paper and use the explanation to see which wrong step each distractor represents.
Standards: 8.G.B.6, 8.G.B.7 · Level: Grade 8
What this The Pythagorean Theorem and Its Converse quiz checks
- In a right triangle, a2 + b2 = c2, where c is the hypotenuse.
- The hypotenuse is opposite the right angle and is the longest side.
- If a2 + b2 = c2 holds for a triangle, the triangle is right (converse).
- To find a leg, subtract: a2 = c2 − b2.
- The space diagonal of a box satisfies d2 = l2 + w2 + h2.
The 10 questions of the quiz
- A right triangle has legs 7 and 24. What is the hypotenuse?
- A right triangle has hypotenuse 26 and one leg 24. What is the other leg?
- Each choice lists three side lengths. Which choice can be the sides of a right triangle?
- What is the length x in the triangle?
- Which side of a right triangle is always the longest?
- The legs of a right triangle are 6 and 7. The hypotenuse is closest to…
- How high up the wall does the ladder reach?
- Which statement is the converse of the Pythagorean Theorem?
- A TV screen is 36 inches wide and 20 inches tall. About how long is its diagonal?
- A box measures 3 in. by 4 in. by 12 in. What is the length of its space diagonal?
After the quiz
Missed a question? Reread the The Pythagorean Theorem and Its Converse lesson, then take the quiz again. Next, solve the Grade 8 worksheet on The Pythagorean Theorem and Its Converse, one star first, then two and three stars. Finally, take the chapter test under real conditions, without notes and with a timer.