Triangle Inequality Theorem Practice Exercise, Study notes of Geometry

A practice exercise based on the triangle inequality theorem. It includes a series of examples where the lengths of the sides of triangles are given, and students are asked to determine if these numbers could be the lengths of a triangle and to prove their answers using the theorem. The document also includes exercises where students are asked to find the possible lengths for the third side of a triangle given the lengths of two sides, and a problem where a person tries to build a triangular pen with given lumber pieces.

Typology: Study notes

2021/2022

Uploaded on 08/05/2022

hal_s95
hal_s95 🇵🇭

4.4

(655)

10K documents

1 / 2

Toggle sidebar

This page cannot be seen from the preview

Don't miss anything!

bg1
Name ________________________________________ Date _____________
PracticeTriangle Inequality Theorem
Triangle Inequality Theorem
The sum of the lengths of any two sides of a triangle is ________________ than the
length of the third side.
Can these numbers be the length of the sides of a triangle? Show math to prove your
answer, using the Triangle Inequality Theorem. Then circle YES or NO.
1. 8, 9, 10 2. 1,1, 2 3. 6, 9, 8
YES NO YES NO YES NO
4. 3, 4, 9 5. 12, 4, 17 6. 8, 7, 2
YES NO YES NO YES NO
7. 14, 3, 9 8. 12, 18, 2 9. 3, 2, 1
YES NO YES NO YES NO
pf2

Partial preview of the text

Download Triangle Inequality Theorem Practice Exercise and more Study notes Geometry in PDF only on Docsity!

Name ________________________________________ Date _____________ PracticeTriangle Inequality Theorem Triangle Inequality Theorem The sum of the lengths of any two sides of a triangle is ________________ than the length of the third side. Can these numbers be the length of the sides of a triangle? Show math to prove your answer, using the Triangle Inequality Theorem. Then circle YES or NO.

  1. 8, 9, 10 2. 1,1, 2 3. 6, 9, 8 YES NO YES NO YES NO
  2. 3, 4, 9 5. 12, 4, 17 6. 8, 7, 2 YES NO YES NO YES NO
  3. 14, 3, 9 8. 12, 18, 2 9. 3, 2, 1 YES NO YES NO YES NO

In Exercises 10 – 15 , the lengths of two sides of a triangle are given. What are the possible lengths for the third side? Between what two numbers?

  1. 8, 5 11. 9, 2 12. 10, 10 Between Between Between
  2. 4, 13 14. 27, 39 15. 15, 6 Between Between Between
  3. Which of the following could be the length of !"? X (a) 12 (b) 4 4 18 (c) 14 (d) 21 Y Z
  4. Mrs. Barto has a pet rabbit and wants to build a pen for it. She has 3 pieces of lumber: one is 3 ft, one is 7 ft, and the other is 8 ft long. Can she build a closed triangular pen with these three boards (will the boards form a triangle)? Show your work here: YES or NO