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In triangle DEF, if DE = 6, DF = 8, and EF = 10, what is the type of triangle?

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Question: In triangle DEF, if DE = 6, DF = 8, and EF = 10, what is the type of triangle?

Options:

  1. Acute
  2. Obtuse
  3. Right
  4. Equilateral

Correct Answer: Right

Solution:

Since 6² + 8² = 10², triangle DEF is a right triangle.

In triangle DEF, if DE = 6, DF = 8, and EF = 10, what is the type of triangle?

Practice Questions

Q1
In triangle DEF, if DE = 6, DF = 8, and EF = 10, what is the type of triangle?
  1. Acute
  2. Obtuse
  3. Right
  4. Equilateral

Questions & Step-by-Step Solutions

In triangle DEF, if DE = 6, DF = 8, and EF = 10, what is the type of triangle?
  • Pythagorean Theorem – In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
  • Triangle Classification – Triangles can be classified based on their side lengths and angles, including right, acute, and obtuse triangles.
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