Maths Elementary Shapes part 13 (Combo of Triangles Types) CBSE Class 6 Mathematics VI | Summary and Q&A

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January 19, 2017
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Maths Elementary Shapes part 13 (Combo of Triangles Types) CBSE Class 6 Mathematics VI

TL;DR

Different combinations of triangles can exist based on their sides and angles, including acute, right-angled, obtuse, isoceles, and equilateral triangles.

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Questions & Answers

Q: Can a triangle be both right-angled and isoceles?

Yes, a triangle can be both right-angled and isoceles if it has one angle equal to 90° and two equal sides.

Q: What are the possibilities for scaling triangles?

Scaling triangles can be acute if all sides are unequal, right-angled if one angle is 90°, or obtuse if one angle is greater than 90°.

Q: Are there any right-angled equilateral triangles?

No, there are no right-angled equilateral triangles because in an equilateral triangle, all angles must be 60°.

Q: What kind of triangle can be both obtuse and isoceles?

An obtuse-angled isoceles triangle can have one angle greater than 90° and two equal sides.

Summary & Key Takeaways

  • Triangles can have combinations of different properties, such as being right-angled and isoceles.

  • Scaling triangles can be acute, right-angled, or obtuse, depending on the length of their sides.

  • Isoceles triangles can also be acute, right-angled, or obtuse, depending on the length of their sides and the size of their angles.

  • Equilateral triangles can only be acute because all angles need to be equal.

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