Reciprocal Pythagorean Theorem Applications
The second page focuses on the reciprocal Pythagorean theorem and its application in determining whether a triangle is right-angled. It includes practical examples demonstrating both positive and negative cases.
Definition: If the square of the longest side equals the sum of squares of the other two sides, then the triangle is right-angled.
Example: Triangle ABC with sides 8.72, 6, and 6.3 units is proven to be right-angled as 8.72² = 6² + 6.3².
Highlight: A counter-example shows triangle IJK with sides 9, 6, and 7 units is not right-angled as 9² ≠ 6² + 7².
Vocabulary: Reciprocal theorem - a mathematical statement that works in reverse to prove a condition.
