✅ 8th Grade Math (Algebra I): Pythagorean Theorem Quiz
✅ 8th Grade Math (Algebra I): Pythagorean Theorem Quiz
A right triangle has legs measuring 3 cm and 4 cm. What is the length of the hypotenuse?
A) 5 cmB) 6 cm
C) 7 cm
D) 8 cm
The hypotenuse of a right triangle is 10 inches long, and one leg is 6 inches long. What is the length of the other leg?
A) 4 inchesB) 7 inches
C) 8 inches
D) 9 inches
Which of the following sets of side lengths could form a right triangle?
A) 2, 3, 4B) 5, 12, 13
C) 6, 8, 9
D) 7, 8, 10
A ladder 13 feet long is leaning against a wall. The base of the ladder is 5 feet away from the wall. How high up the wall does the ladder reach?
A) 8 feetB) 10 feet
C) 12 feet
D) 14 feet
A rectangular garden is 9 meters wide and 12 meters long. What is the length of the diagonal path across the garden?
A) 10 metersB) 15 meters
C) 18 meters
D) 21 meters
Find the value of $x$ in the right triangle shown below, where the legs are 7 and $x$, and the hypotenuse is $\sqrt{74}$.
A) 3B) 4
C) 5
D) 6
A square has a side length of 6 cm. What is the length of its diagonal?
A) $6\sqrt{2}$ cmB) 6 cm
C) $6\sqrt{3}$ cm
D) 12 cm
A television screen is advertised by its diagonal measure. If a 32-inch television screen has a height of 18 inches, what is its width to the nearest inch?
A) 25 inchesB) 26 inches
C) 27 inches
D) 28 inches
A boat travels 12 miles due east and then 9 miles due north. How far is the boat from its starting point?
A) 15 milesB) 18 miles
C) 21 miles
D) 25 miles
A ramp is 17 feet long and reaches a height of 8 feet. What is the horizontal distance covered by the ramp?
A) 9 feetB) 12 feet
C) 15 feet
D) 16 feet
A triangle has side lengths of 20, 21, and 29. Is this a right triangle?
A) Yes, because $20^2 + 21^2 = 29^2$.B) No, because $20^2 + 21^2 \ne 29^2$.
C) Yes, because $20 + 21 > 29$.
D) No, because it's not a Pythagorean triple.
Two cars leave an intersection at the same time. One travels north at 40 mph and the other travels west at 30 mph. How far apart are the cars after 2 hours?
A) 50 milesB) 70 miles
C) 80 miles
D) 100 miles
A rectangular prism has a length of 12 cm, a width of 4 cm, and a height of 3 cm. What is the length of the longest diagonal inside the prism?
A) 13 cmB) 15 cm
C) 16 cm
D) 17 cm
A person is standing 10 meters away from the base of a 24-meter tall tree. If they look up at the top of the tree, what is the distance from the person's eyes to the top of the tree? (Assume the person's eyes are 1.5 meters above the ground).
A) 25 metersB) 26 meters
C) 27 meters
D) 28 meters
Scan QR Code for Answer Key & Detailed Solutions
https://www.eokultv.com/worksheet-generator/8th-grade-math-pythagorean-theorem/quizzes