Want to see correct answers?
Login or join for free!
  Geometry Worksheets
Looking for Geometry worksheets?
Check out our pre-made Geometry worksheets!
Share/Like This Page
Filter By Grade

Grade 8 Grade 9 Grade 10 Grade 11

Browse Questions

Pythagorean Theorem and Applications Questions - All Grades

You can create printable tests and worksheets from these Pythagorean Theorem and Applications questions! Select one or more questions using the checkboxes above each question. Then click the add selected questions to a test button before moving to another page.

Previous Page 2 of 7 Next
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
Grade 10 Pythagorean Theorem and Applications
The Pythagorean Theorem applies only to what type of triangles?
  1. Equivalent Triangles
  2. Right Triangles
  3. Isosceles Triangles
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.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
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.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
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
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
Previous Page 2 of 7 Next