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In triangle XYZ, if XY = 8 cm, XZ = 6 cm, and YZ = 10 cm, what type of triangle

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Question: In triangle XYZ, if XY = 8 cm, XZ = 6 cm, and YZ = 10 cm, what type of triangle is it?

Options:

  1. Equilateral
  2. Isosceles
  3. Scalene
  4. Right

Correct Answer: Scalene

Solution:

Triangle XYZ is scalene because all sides have different lengths.

In triangle XYZ, if XY = 8 cm, XZ = 6 cm, and YZ = 10 cm, what type of triangle

Practice Questions

Q1
In triangle XYZ, if XY = 8 cm, XZ = 6 cm, and YZ = 10 cm, what type of triangle is it?
  1. Equilateral
  2. Isosceles
  3. Scalene
  4. Right

Questions & Step-by-Step Solutions

In triangle XYZ, if XY = 8 cm, XZ = 6 cm, and YZ = 10 cm, what type of triangle is it?
  • Triangle Classification – Triangles can be classified based on the lengths of their sides: scalene (all sides different), isosceles (two sides equal), and equilateral (all sides equal).
  • Triangle Inequality Theorem – The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
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