Right Triangle Identification: Analyzing a Given Triangle's Properties

Right Triangle Recognition with Angle Notation

Is the triangle in the drawing a right triangle?

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Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Is the triangle in the drawing a right triangle?

2

Step-by-step solution

Due to the presence of the 90 degree angle symbol we can determine that this is indeed a right-angled triangle.

3

Final Answer

Yes

Key Points to Remember

Essential concepts to master this topic
  • Right Angle Symbol: Small square in corner indicates exactly 90 degrees
  • Visual Identification: Look for the square symbol at vertex corners
  • Verification: Square symbol confirms right triangle without measuring angles ✓

Common Mistakes

Avoid these frequent errors
  • Ignoring the right angle symbol in diagrams
    Don't assume you need to calculate or measure angles when a square symbol is present = missing the obvious visual clue! The square symbol definitively marks a 90° angle. Always look for this standard notation first before attempting calculations.

Practice Quiz

Test your knowledge with interactive questions

In a right triangle, the side opposite the right angle is called....?

FAQ

Everything you need to know about this question

What does the small square symbol in the corner mean?

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The small square symbol is the universal notation for a right angle. It tells you that angle measures exactly 90° 90° , making it a right triangle!

Do I need to measure the sides to check if it's a right triangle?

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No! When you see the right angle symbol (small square), the triangle is automatically a right triangle. The symbol is mathematical proof that the angle is 90° 90° .

Can a triangle have more than one right angle?

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No way! A triangle can have at most one right angle. Since angles in a triangle sum to 180° 180° , two right angles would already equal 180° 180° !

What if the triangle looks like it has a right angle but no symbol?

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Don't assume! Diagrams can be not drawn to scale. Only trust the mathematical notation and given measurements, not just the visual appearance.

Are there other ways to show a right angle besides the square?

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The small square is the standard notation, but sometimes you might see 90° 90° written near the angle or a small arc with "90°" label.

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