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Questions and Answers
What type of triangle is defined as having all three angles less than 90 degrees?
What type of triangle is defined as having all three angles less than 90 degrees?
- Scalene Triangle
- Acute Triangle (correct)
- Right Triangle
- Obtuse Triangle
What distinguishes a scalene triangle?
What distinguishes a scalene triangle?
All sides have different lengths.
A right scalene triangle has equal sides.
A right scalene triangle has equal sides.
False (B)
What is the defining characteristic of an obtuse scalene triangle?
What is the defining characteristic of an obtuse scalene triangle?
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What does an equilateral triangle look like?
What does an equilateral triangle look like?
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A right isosceles triangle has two equal sides and angles measuring ____, ____, and ____.
A right isosceles triangle has two equal sides and angles measuring ____, ____, and ____.
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All angles in an obtuse triangle are less than 90 degrees.
All angles in an obtuse triangle are less than 90 degrees.
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What defines an acute isosceles triangle?
What defines an acute isosceles triangle?
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Study Notes
Acute Triangle
- Contains three acute angles, each less than 90 degrees.
- Can be scalene if all sides have different lengths.
Right Scalene Triangle
- Features three unequal sides.
- Each angle can vary, with one angle being exactly 90 degrees.
Obtuse Scalene Triangle
- Possesses one angle greater than 90 degrees.
- All sides are of different lengths.
Acute Equilateral Triangle
- All three sides are equal in length.
- Each angle measures 60 degrees.
Right Isosceles Triangle
- Is a right triangle with two legs of equal length.
- Contains angles of 45°, 45°, and 90°.
Obtuse Isosceles Triangle
- Can be either isosceles or scalene.
- Has one angle greater than 90 degrees, while the other two angles are equal.
Acute Isosceles Triangle
- Defined by two sides of equal length.
- Excludes the requirement of all angles being acute if considering equilateral as a special case.
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