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Daniel Math Academy · Grade 8 Math

Unit Review: Pythagorean theorem

Grade 8 · 6 skills · ★★☆ Medium

Name
 
Date
 
Score/ 24

M.1M.2Find each missing side. Round to the nearest tenth if needed.

  1. 1
    48 in14 in?
    ? = 
  2. 2
    28 ft21 ft?
    ? = 
  3. 3
    27 m36 m?
    ? = 
  4. 4
    14 cm48 cm?
    ? = 
  5. 5
    8 in?17 in
    ? = 
  6. 6
    21 m?35 m
    ? = 
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Daniel Math Academy · Grade 8 Math
Unit Review: Pythagorean theorem

M.2Find each missing side. Round to the nearest tenth if needed. (continued)

  1. 7
    20 m?25 m
    ? = 
  2. 8
    24 cm?26 cm
    ? = 

M.3Can the three lengths be the sides of a right triangle? Write yes or no.

  1. 9
    , ,  
  2. 10
    , ,  
  3. 11
    , ,  
  4. 12
    , ,  

M.4Round to the nearest tenth if needed.

  1. 13
    A kite string is feet long. The kite is right above a point feet from where the string is held, at ground level. How high is the kite?
  2. 14
    A -foot ladder leans against a wall. Its base is feet from the wall. How high up the wall does the ladder reach?
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Daniel Math Academy · Grade 8 Math
Unit Review: Pythagorean theorem

M.4Round to the nearest tenth if needed. (continued)

  1. 15
    A -foot ladder leans against a wall. Its base is feet from the wall. How high up the wall does the ladder reach?
  2. 16
    A -foot ladder leans against a wall. Its base is feet from the wall. How high up the wall does the ladder reach?

M.5Find the distance between the points. Round to the nearest tenth if needed.

  1. 17
    xy−6−6−4−4−2−2224466(−4, −3)(3, −5)
    Distance: 
  2. 18
    xy−6−6−4−4−2−2224466(6, 4)(2, 2)
    Distance: 
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Daniel Math Academy · Grade 8 Math
Unit Review: Pythagorean theorem

M.5Find the distance between the points. Round to the nearest tenth if needed. (continued)

  1. 19
    xy−6−6−4−4−2−2224466(2, −6)(5, 3)
    Distance: 
  2. 20
    xy−6−6−4−4−2−2224466(−1, −1)(−5, 6)
    Distance: 

M.6Find each missing side. Round to the nearest tenth if needed.

  1. 21
    16 ft?34 ft
    ? = 
  2. 22
    20 m21 m?
    ? = 
  3. 23
    14 ft48 ft?
    ? = 
  4. 24
    3 ft4 ft?
    ? = 
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Daniel Math Academy · Grade 8 Math

Answer Key

Unit Review: Pythagorean theorem · ★★☆ Medium

M.1M.2Find each missing side. Round to the nearest tenth if needed.

  1. 150 in
  2. 235 ft
  3. 345 m
  4. 450 cm
  5. 515 in
  6. 628 m
  7. 715 m
  8. 810 cm

M.3Is It a Right Triangle?

  1. 9no
  2. 10no
  3. 11no
  4. 12yes

M.4Pythagorean Theorem Word Problems

  1. 1324 feet
  2. 1440 feet
  3. 1514 feet
  4. 167 feet

M.5Distance Between Two Points

  1. 17≈ 7.3 units
  2. 18≈ 4.5 units
  3. 19≈ 9.5 units
  4. 20≈ 8.1 units

M.6Pythagorean Theorem Review

  1. 2130 ft
  2. 2229 m
  3. 2350 ft
  4. 245 ft
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