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Pythagorean Theorem and Applications Questions - All Grades

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Grade 10 Pythagorean Theorem and Applications CCSS: HSG-SRT.C.8
Using the measurements given below, find the hypotenuse of the triangle.
Leg = 20 units
Leg = 21 units
  1. 400 units
  2. 841 units
  3. 29 units
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 10 Pythagorean Theorem and Applications CCSS: HSG-SRT.C.8
If AC = 8 m and AB = 12 m, what is the length of ¯CD, rounded to one decimal place?
Right Triangle ABCD
  1. 2.7 m
  2. 5.3 m
  3. 6.0 m
  4. 8.0 m
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 10 Pythagorean Theorem and Applications CCSS: HSG-SRT.C.8
The circle shown has a circumference of 47.1 in. What is the area of square ABCD which is inscribed in the circle? Round the answer to one decimal place.
Composite Shapes 11
  1. Not enough information.
  2. 56.3 squared inches
  3. 112.4 squared inches
  4. 449.4 squared inches
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