Right Triangle Identification: Analyzing Triangle Properties from a Diagram

Triangle Classification with Angle Measurements

Is the triangle in the drawing a right triangle?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Determine whether the triangle is right-angled
00:04 Draw perpendiculars to the sides that create right angles
00:08 We can observe that each angle in the triangle is less than 90° (acute)
00:25 Therefore, the triangle is acute-angled
00:30 This is the solution

Step-by-step written solution

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1

Understand the problem

Is the triangle in the drawing a right triangle?

2

Step-by-step solution

It can be seen that all angles in the given triangle are less than 90 degrees.

In a right-angled triangle, there needs to be one angle that equals 90 degrees

Since this condition is not met, the triangle is not a right-angled triangle.

3

Final Answer

No

Key Points to Remember

Essential concepts to master this topic
  • Definition: Right triangles must have exactly one 90-degree angle
  • Technique: Examine all three angles visually or measure them systematically
  • Check: Verify no angle appears to be a perfect square corner ✓

Common Mistakes

Avoid these frequent errors
  • Assuming triangles are right triangles without checking angles
    Don't assume a triangle is a right triangle just because it looks somewhat angular = wrong classification! This leads to incorrect use of Pythagorean theorem and other right triangle properties. Always examine each angle to confirm one measures exactly 90 degrees.

Practice Quiz

Test your knowledge with interactive questions

Is the triangle in the drawing a right triangle?

FAQ

Everything you need to know about this question

How can I tell if an angle is exactly 90 degrees just by looking?

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Look for a perfect square corner where two sides meet at exactly perpendicular angles. If all angles appear acute (less than 90°), it's not a right triangle.

What if the triangle looks close to having a right angle?

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Close doesn't count! A right triangle must have exactly one 90-degree angle. If it's close but not exact, it's classified as an obtuse or acute triangle instead.

Can a triangle have more than one right angle?

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No! The sum of angles in any triangle is always 180° 180° . If you had two 90° angles, that's already 180°, leaving 0° for the third angle, which is impossible.

What's the difference between acute, obtuse, and right triangles?

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  • Acute: All three angles less than 90°
  • Right: Exactly one angle equals 90°
  • Obtuse: One angle greater than 90°

Why does it matter what type of triangle this is?

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Triangle classification determines which formulas and properties you can use! Right triangles allow Pythagorean theorem, special trigonometric relationships, and specific area calculations.

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