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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
    7 cm24 cm?
    ? = 
  2. 2
    5 in12 in?
    ? = 
  3. 3
    48 m14 m?
    ? = 
  4. 4
    16 ft30 ft?
    ? = 
  5. 5
    5 in?13 in
    ? = 
  6. 6
    20 cm?25 cm
    ? = 
Daniel Math Academy · danielmath.comWorksheet #yb69nb7 · Page 1 / 5
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
    8 cm?17 cm
    ? = 
  2. 8
    4 cm?5 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 wire runs from the top of a -foot pole to a stake in the ground feet from the pole's base. How long is the wire?
  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?
Daniel Math Academy · danielmath.comWorksheet #yb69nb7 · Page 2 / 5
Daniel Math Academy · Grade 8 Math
Unit Review: Pythagorean theorem

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

  1. 15
    A rectangular field is meters long and meters wide. How long is a path straight across it, corner to corner?
  2. 16
    A rectangular field is meters long and meters wide. How long is a path straight across it, corner to corner?

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

  1. 17
    xy−6−6−4−4−2−2224466(4, 6)(−2, 0)
    Distance: 
  2. 18
    xy−6−6−4−4−2−2224466(−3, 5)(−1, 0)
    Distance: 
Daniel Math Academy · danielmath.comWorksheet #yb69nb7 · Page 3 / 5
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(0, −6)(−6, −2)
    Distance: 
  2. 20
    xy−6−6−4−4−2−2224466(5, 5)(2, 4)
    Distance: 

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

  1. 21
    16 ft?34 ft
    ? = 
  2. 22
    10 cm24 cm?
    ? = 
  3. 23
    9 m?41 m
    ? = 
  4. 24
    40 in9 in?
    ? = 
Daniel Math Academy · danielmath.comWorksheet #yb69nb7 · Page 4 / 5
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. 125 cm
  2. 213 in
  3. 350 m
  4. 434 ft
  5. 512 in
  6. 615 cm
  7. 715 cm
  8. 83 cm

M.3Is It a Right Triangle?

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

M.4Pythagorean Theorem Word Problems

  1. 1340 feet
  2. 1436 feet
  3. 1534 meters
  4. 1635 meters

M.5Distance Between Two Points

  1. 17≈ 8.5 units
  2. 18≈ 5.4 units
  3. 19≈ 7.2 units
  4. 20≈ 3.2 units

M.6Pythagorean Theorem Review

  1. 2130 ft
  2. 2226 cm
  3. 2340 m
  4. 2441 in
Daniel Math Academy · danielmath.comWorksheet #yb69nb7 · Answer Key · Page 5 / 5