Pythagoras Theorem
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(0:01) What is the Pythagoras Theorem?: The Pythagoras theorem states that in a right-angled triangle, the square of the hypotenuse equals the sum of the squares of the other two sides $(a^2 + b^2 = c^2)$.(1:00) How to Use the Pythagoras Theorem to Find the Missing Side: In a right-angled triangle, substitute the known sides into the equation: $5^2 + x^2 = 13^2$, which simplifies to $x^2 = 144$. Since $x$ represents a length, it must be positive, so $x = \sqrt{144} = 12$.(1:37) Pythagorean Theorem Application: Find the distance between two points on a grid by using their horizontal and vertical distances to form a right-angled triangle.(2:19) 3D Pythagoras: Use Pythagoras’ theorem to find the diagonal of a cuboid, helping to measure distances in three-dimensional shapes.
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