Right Triangle Identification: Finding Triangle with Angle B = 90 Degrees

Right Triangle Vertex Labeling with Angle Positions

Choose the appropriate triangle according to the following:

Angle B equals 90 degrees.

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Step-by-step video solution

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00:00 Identify in which triangle B is the right angle
00:03 The letter B will be at the vertex with the right angle

Step-by-step written solution

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1

Understand the problem

Choose the appropriate triangle according to the following:

Angle B equals 90 degrees.

2

Step-by-step solution

Let's note in which of the triangles angle B forms a right angle, meaning an angle of 90 degrees.

In answers C+D, we can see that angle B is smaller than 90 degrees.

In answer A, it is equal to 90 degrees.

3

Final Answer

AAABBBCCC

Key Points to Remember

Essential concepts to master this topic
  • Right Angle Rule: A 90° angle forms perpendicular sides meeting at the vertex
  • Visual Method: Look for the square corner symbol where two sides meet perpendicularly
  • Verification: Check that vertex B is where the two perpendicular sides intersect ✓

Common Mistakes

Avoid these frequent errors
  • Confusing vertex labels with angle positions
    Don't assume angle B is at vertex A just because you see letter B = wrong triangle selection! The angle is named after the vertex where it's located. Always identify where the 90° angle actually occurs in the triangle.

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

How do I know which vertex has the right angle?

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Look for the square corner symbol or perpendicular lines meeting. The vertex where two sides form a 90° angle is where that angle is located.

Why does the triangle orientation matter?

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Orientation doesn't change the angles! A right triangle can be rotated but the 90° angle stays at the same vertex. Focus on which vertex has the right angle, not the triangle's position.

What if I can't see the right angle symbol clearly?

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Look for two sides that appear perpendicular (forming an 'L' shape). The vertex where these sides meet contains the right angle, regardless of visual markers.

Can a triangle have angle B = 90° at different vertices?

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No! Angle B is always located at vertex B. The angle is named after the vertex where it occurs. Only the triangle with the right angle at vertex B is correct.

How do I remember which triangle is correct?

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Use this rule: "Angle B lives at vertex B". Find the triangle where vertex B (the point labeled B) has the 90° angle, not where B appears elsewhere.

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