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The Pythagorean Theorem is one of the most fundamental principles in geometry. It describes the relationship between the sides of a right triangle.
In a right triangle, the square of the length of the hypotenuse (c) equals the sum of the squares of the other two sides (a and b).
Problem: A right triangle has legs of length 3 and 4. What is the length of the hypotenuse?
Solution:
Answer: The hypotenuse has length 5 units.
Test your understanding with these problems
Solve for x: 2x + 5 = 13
2x + 5 = 13
2x = 13 - 5
2x = 8
x = 4
Find the roots of: x² - 5x + 6 = 0
Factor: (x - 2)(x - 3) = 0
Therefore: x = 2 or x = 3
If sin(θ) = 0.5, what is the value of θ in degrees (0° ≤ θ ≤ 90°)?
sin(θ) = 0.5
θ = 30° (or π/6 radians)
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