Right Triangles

Site:	Saylor Academy
Course:	GKT101: General Knowledge for Teachers – Math
Book:	Right Triangles

Printed by:	Guest user
Date:	Friday, 18 April 2025, 12:31 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.

Construct a right isosceles triangle
Construct a triangle with constraints
Triangle inequality theorem
Practice
- Triangle side length rules - Questions
- Triangle side length rules - Answers

Construct a right isosceles triangle

Source: Khan Academy, https://www.khanacademy.org/math/basic-geo/basic-geometry-pythagorean-theorem
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 License.

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 $1.6 < x < 9.6$