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If the height of a triangle is 4 cm less than its base, and the hypotenuse is 10 cm, find the other sides?
  1. Base = 10 cm, Height = 6 cm
  2. Base = 8 cm, Height = 4 cm
  3. Base = 12 cm, Height = 8 cm
  4. None of these
Explanation

Let's say the base of the triangle is x. Since the height is 4 less than the base, the height is x - 4.

Using the Pythagorean theorem:

Base² + Height² = Hypotenuse²

x² + (x - 4)² = 10²

Solving for x, we get x = 8.

So, the base is 8 cm and the height is 8 - 4 = 4 cm.

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