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Eighth Grade (Grade 8) Pythagorean Theorem and Applications Questions

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Grade 8 Pythagorean Theorem and Applications CCSS: 8.G.B.7
3-4-5 is a Pythagorean triple.
  1. True
  2. False
Grade 8 Pythagorean Theorem and Applications CCSS: 8.G.B.7
Find the length of the hypotenuse of a triangle with legs 5 and 12.
  1. 13
  2. 17
  3. 6
  4. 169
Grade 8 Pythagorean Theorem and Applications CCSS: 8.G.B.6
Which of the following side lengths satisfy the requirements for a right triangle?
  1. 1, 2, 3
  2. 3, 5, 8
  3. 7, 10, 12
  4. 9, 12, 15
Grade 8 Pythagorean Theorem and Applications CCSS: 8.G.B.7
If BC = 24.5 and AC = 18.5, what is AB?
Right Triangle ABC v3
  1. 16.1
  2. 16.0
  3. 30.7
  4. 30.6
Grade 8 Pythagorean Theorem and Applications CCSS: 8.G.B.7
If BC = 28.3 and AC = 7.2, what is AB?
Right Triangle ABC v1
  1. 27.3
  2. 27.4
  3. 29.2
  4. 29.0
Grade 8 Pythagorean Theorem and Applications CCSS: 8.G.B.7
The altitude of equilateral triangle ABC is 15. What is the length of a side of triangle ABC?
Equilateral Triangle Height v1
  1. 5√2
  2. 5√3
  3. 10√2
  4. 10√3
Grade 8 Pythagorean Theorem and Applications CCSS: 8.G.B.7
If AB = 8 and AC = 6, what is BC?
Right Triangle ABC v1
  1. 9
  2. 8
  3. 16
  4. 10.0
Grade 8 Pythagorean Theorem and Applications CCSS: 8.G.B.7
If AB = 18.1 and AC = 6.2, what is BC?
Right Triangle ABC v1
  1. 17.4
  2. 17.0
  3. 19.1
  4. 19.0
Grade 8 Pythagorean Theorem and Applications CCSS: 8.G.B.6
For the right triangle shown: BC2=AB2+AC2

Which equation is equivalent to the above equation?
Right Triangle ABC v1
  1. BC=AB+AC
  2. AB2=BC2-AC2
  3. AC2=BC2+AB2
  4. AB2=BC2+AC2
Grade 8 Pythagorean Theorem and Applications CCSS: 8.G.B.7
If AB = 614 and AC = 132, what is BC?
Right Triangle ABC v1
  1. 599.6
  2. 628.3
  3. 628.0
  4. 599.7
Grade 8 Pythagorean Theorem and Applications CCSS: 8.G.B.7
This is a right triangle:

side a = 5 cm
side b= 12 cm
side c = 13 cm
  1. True
  2. False
Grade 8 Pythagorean Theorem and Applications CCSS: 8.G.B.7
What is the perimeter of a 45°-45°-90° triangle with a hypotenuse of 7√2?
  1. 14√2
  2. 14+7√2
  3. 21√2
  4. 21+7√2
Grade 8 Pythagorean Theorem and Applications CCSS: 8.G.B.7
If BC = 6,124 and AC = 8,231, what is AB?
Right Triangle ABC v3
  1. 10,263
  2. 10,259
  3. 5,499
  4. 5,500
Grade 8 Pythagorean Theorem and Applications CCSS: 8.G.B.7
If AB = 3.2 and AC = 1.9, what is BC?
Right Triangle ABC v1
  1. 3.0
  2. 3.7
  3. 2.6
  4. 2.5
Grade 8 Pythagorean Theorem and Applications CCSS: 8.G.B.7
If AB = 14 and AC = 10, what is BC?
Right Triangle ABC v1
  1. 9.8
  2. 17.2
  3. 16.2
  4. 10.5
Grade 8 Pythagorean Theorem and Applications CCSS: 8.G.B.7
If BC = 2.3 and AB = 4.6, what is AC?
Right Triangle ABC v3
  1. 3.9
  2. 4.0
  3. 5.1
  4. 5.0
Grade 8 Pythagorean Theorem and Applications CCSS: 8.G.B.7
A 45°-45°-90° has a hypotenuse length of 20. What is the length of a side?
  1. 10√2
  2. 20√2
  3. 10√3
  4. 20√3
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