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In triangle DEF, if DE = 6 cm, DF = 8 cm, and angle E = 90 degrees, what is the

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Question: In triangle DEF, if DE = 6 cm, DF = 8 cm, and angle E = 90 degrees, what is the length of EF?

Options:

  1. 10 cm
  2. 12 cm
  3. 14 cm
  4. 16 cm

Correct Answer: 10 cm

Solution:

Using the Pythagorean theorem, EF = √(DE^2 + DF^2) = √(6^2 + 8^2) = √(36 + 64) = √100 = 10 cm.

In triangle DEF, if DE = 6 cm, DF = 8 cm, and angle E = 90 degrees, what is the

Practice Questions

Q1
In triangle DEF, if DE = 6 cm, DF = 8 cm, and angle E = 90 degrees, what is the length of EF?
  1. 10 cm
  2. 12 cm
  3. 14 cm
  4. 16 cm

Questions & Step-by-Step Solutions

In triangle DEF, if DE = 6 cm, DF = 8 cm, and angle E = 90 degrees, what is the length of EF?
  • Pythagorean Theorem – A mathematical principle used to find the length of a side in a right triangle, stating that the square of the hypotenuse is equal to the sum of the squares of the other two sides.
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