If the height of a triangle is 4 cm less than its base, and the hypotenuse is 10 cm, find the other sides?
Answer: Base = 8 cm, Height = 4 cm
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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