MathematicsFreePrintable
Right Triangle Identification
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Right Triangle Identification
📐 Part 1: Identifying Right Triangles
1. Which triangle below is a right triangle?
A triangle with angles 60°, 60°, 60°
A triangle with angles 45°, 45°, 90°
A triangle with angles 30°, 70°, 80°
2. What special symbol marks a right angle in a triangle?
A circle
A small square
An arrow
3. In a right triangle, which side is ALWAYS the longest?
The leg
The hypotenuse
The base
4. Check ALL the places where you might find right triangles in real life:
A ladder leaning against a wall
The corner of a rectangular window
A stop sign
The corner of a book
✏️ Part 2: Labeling Triangle Parts
5. Draw a right triangle in the box below. Mark the right angle with a small square and label the hypotenuse and legs.
6. Complete this sentence: The hypotenuse is the side that is _____________ the right angle.
Answer: _________________
7. In your own words, explain why the hypotenuse is always the longest side in a right triangle.
8. Look at this triangle: If one leg is 3 inches and the other leg is 4 inches, which measurement could be the hypotenuse?
2 inches
4 inches
5 inches
🎯 Part 3: Problem Solving
9. Maria says that every triangle has a hypotenuse. Is she correct? Explain your reasoning.
10. Challenge: If you know the lengths of all three sides of a triangle, how could you determine if it's a right triangle without measuring the angles?
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