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

Instructions:

question 1 of 3

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

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### 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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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