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

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

Options:

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

Correct Answer: Right

Solution:

Using the Pythagorean theorem, since 6² + 8² = 36 + 64 = 100 = 10², triangle DEF is a right triangle.

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

Practice Questions

Q1
In triangle DEF, if DE = 6, DF = 8, and EF = 10, what type of triangle is it?
  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 type of triangle is it?
  • Pythagorean Theorem – A mathematical principle used to determine if a triangle is a right triangle by checking if the square of the longest side equals the sum of the squares of the other two sides.
  • Triangle Classification – Understanding the different types of triangles (e.g., right, acute, obtuse) based on their side lengths and angles.
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