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Right Triangles

Site: Saylor Academy
Course: GKT101: General Knowledge for Teachers – Math
Book: Right Triangles
Printed by: Guest user
Date: Tuesday, May 13, 2025, 11:15 PM

Description

Right triangles have a unique relationship between the lengths of their sides, known as the Pythagorean theorem. Watch these videos and complete the interactive exercises.

Table of contents

Construct a triangle with constraints

Triangle inequality theorem

Practice

   

Triangle side length rules - Questions

1. Could \(\text{10.6 cm, 5.6 cm}\), and \(\text{4.0 cm}\) be the side lengths of a triangle?

Choose 1 answer:

(A) Yes

(B) No

2. What is the range of possible sizes for side \(x\)?



__________ \(< x <\) __________ 

3. Could  \(\text{10.5 cm, 8.0 cm}\)and \(\text{4.0 cm}\) be the side lengths of a triangle?

Choose 1 answer:

(A) Yes

(B) No

4. What is the range of possible sizes for side \(x\)?



__________ \(< x <\) __________ 



Triangle side length rules - Answers

1. Not all three sides conform to the inequality theorem, so this triangle cannot exist.

2. So \(1.3 < x < 6.7\)

3. All three sides conform to the inequality theorem, so this triangle can exist.

4. So \(1.6 < x < 9.6\)