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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
Which of the following is not a Pythagorean triple?
  1. (5, 12, 13)
  2. (6, 14, 15)
  3. (25, 60, 65)
  4. (50, 120, 130)
Grade 8 Pythagorean Theorem and Applications CCSS: 8.G.B.7
AB = 6
BC = 8
What is the length of AC?
Right Triangle ABC v1
  1. 16
  2. 3.8
  3. 10
  4. 5.3
Grade 8 Pythagorean Theorem and Applications CCSS: 8.G.B.7
Find the length of the hypotenuse of this triangle.
¯AB= 3 m
¯AC= 4 m
Right Triangle ABC v2
  1. 12 m
  2. 7 m
  3. 6 m
  4. 5 m
Grade 8 Pythagorean Theorem and Applications CCSS: 8.G.B.7
This is a right triangle:

side a = 2.1 cm
side b = 7.2 cm
side c = 7.5 cm
  1. True
  2. False
Grade 8 Pythagorean Theorem and Applications CCSS: 8.G.B.7
AB = 12
AC = 8
What is the length of BC?
Right Triangle ABC v1
  1. 14.4
  2. 8.9
  3. 10.2
  4. 208
Grade 8 Pythagorean Theorem and Applications CCSS: 8.G.B.7
If BC = 61 and AB = 82, what is AC?
Right Triangle ABC v3
  1. 55
  2. 54
  3. 103
  4. 102
Grade 8 Pythagorean Theorem and Applications CCSS: 8.G.B.6
Which of the following is a way to state the Pythagorean Theorem?
  1. leg2-hypotenuse2=leg2
  2. leg2+hypotenuse2=leg2
  3. leg2-leg2=hypotenuse2
  4. leg2+leg2=hypotenuse2
Grade 8 Pythagorean Theorem and Applications CCSS: 8.G.B.6
Which correctly states the Pythagorean Theorem for the triangle shown?
Right Triangle ABC v3
  1. AC2+BC2=AB2
  2. AB2+BC2=AC2
  3. AC2+AB2=BC2
  4. none of the above
Grade 8 Pythagorean Theorem and Applications CCSS: 8.G.B.7
This is a right triangle:

side a = 8 cm
side b = 6 cm
side c = 9 cm
  1. True
  2. False
Grade 8 Pythagorean Theorem and Applications CCSS: 8.G.B.7
If BC = 61 and AC = 82, what is AB?
Right Triangle ABC v3
  1. 55
  2. 54
  3. 103
  4. 102
Grade 8 Pythagorean Theorem and Applications CCSS: 8.G.B.6
Write the letter "D" at the point where the altitude meets line AC.

Given: Triangle ABC is a right triangle; ∠B is a right angle; line BD is perpendicular to AC

Which reason explains the following relationships?

ACBC=BCDC;ACAB=ABAD
Acute Triangle Height v3
  1. though a point outside a line, there is exactly one line perpendicular to the given line
  2. given the altitude of a right triangle, the legs are the geometric mean of the hypotenuse and the segment of the hypotenuse that is adjacent to the leg
  3. when the hypotenuse and a leg of a right triangle are congruent to corresponding parts of another right triangle, the triangles are congruent
  4. the sum of the side lengths of any two sides of a triangle are greater then the length of the third side
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