Multiple choice

The above triangle is right angled triangle with hypotenuse equal to $10 \ cm.$ Find the length of the sides containing the right angle.

  1. $4 \ cm, 6 \ cm$
  2. $6 \ cm, 8 \ cm$
  3. $8 \ cm, 10 \ cm$
  4. $6 \ cm, 10 \ cm$
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B Correct answer
AI explanation

Using the standard properties of a right triangle, we apply the Pythagorean theorem where the sum of the squares of the two legs equals the square of the hypotenuse. Checking the given pairs, 6 squared plus 8 squared equals 36 plus 64, which totals 100. This perfectly matches the square of the given hypotenuse, 10 squared. Therefore, the lengths of the sides containing the right angle are 6 cm and 8 cm.

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