Properties of 3-4-5 Triangles: Definition and Uses

Instructions:

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question 1 of 3

Which of these could not be the side lengths of a 3-4-5 right triangle?

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1. The two shorter sides of a right triangle are 21 and 28. Without using the Pythagorean Theorem, can you find the long side?

2. The hypotenuse of a right triangle is 30. The lengths of the two shorter sides are x and x + 10. Is this a 3-4-5 right triangle?

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About This Quiz & Worksheet

3-4-5 triangles have very specific sides to them that make them 3-4-5. This quiz will have you find the sides of several 3-4-5 triangles, as well as try to understand if other triangles are or are not.

Quiz & Worksheet Goals

This 3-4-5 triangle quiz tests your ability to:

  • Identify a 3-4-5 triangle
  • Find the long side of a right triangle without using the Pythagorean Theorem
  • Consider if a triangle is 3-4-5 after solving for the lengths of two of its sides
  • Solve a word problem
  • Understand what's wrong with a given triangle

Skills Practiced

  • Reading comprehension - draw from relevant information from the lesson on properties of 3-4-5 triangles
  • Critical thinking - use this information to consider if a triangle is 3-4-5, and if not, what is wrong with it
  • Problem solving - solve for sides of a 3-4-5 triangle in equations and word problems

Additional Learning

The lesson called Properties of 3-4-5 Triangles: Definition and Uses covers the following objectives:

  • Define right triangle
  • Explain a Pythagorean triple
  • Use real life examples of problems involving 3-4-5 triangles
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