Math Grade 8 Quiz Pythagorean Theorem Applications – 8.G.B.7
The Pythagorean Theorem is a fundamental principle in geometry that states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. This theorem can be used in various realworld and mathematical scenarios to determine unknown side lengths in two and threedimensional right triangles.
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Question 1 of 10
1. Question
A ladder leans against a wall, reaching a height of 9 feet on the wall. If the base of the ladder is 12 feet from the wall, how long is the ladder?
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Question 2 of 10
2. Question
A rectangular prism has dimensions 6 cm, 8 cm, and 10 cm. Is one of the angles between the edges a right angle?
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Question 3 of 10
3. Question
A triangular park has one right angle and sides measuring 40 m, 50 m, and 90 m. Is it a right triangle?
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Question 4 of 10
4. Question
If a right triangle has one side measuring 5 cm and the hypotenuse measuring 13 cm, what is the length of the other side?
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Question 5 of 10
5. Question
A kite string is 16 m long. If the kite is directly above a point on the ground 12 m from the person flying the kite, how high is the kite above the ground?
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Question 6 of 10
6. Question
A diagonal of a rectangle divides it into two right triangles. If the diagonal measures 25 inches and one side of the rectangle is 15 inches, what is the length of the other side?
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Question 7 of 10
7. Question
In a right triangle ABC, if AC = 7 and BC = 24, find AB.
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Question 8 of 10
8. Question
A triangle with sides measuring 8, 15, and 17 is:
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Question 9 of 10
9. Question
A triangular pyramid has a base edge of 5 cm, a height of 12 cm, and a slant height of 13 cm. Is one of the triangular faces a right triangle?
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Question 10 of 10
10. Question
A triangle has sides measuring 3, 4, and 6. Is it a right triangle?
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