In a right triangle, square of hypotenuse equals sum of squares of other two sides. Perhaps the most famous theorem.
Construction — Checking right angles: 3-4-5 triangle test.
GPS — Distance calculation between coordinates.
Television sizes — Diagonal measurement from width and height.
Ladder safety — How far from wall to place ladder base.
Sports fields — Diagonal distance calculations.
Video resolution — 1920×1080 → diagonal pixel count.
Navigation — Direct distance between two points.
Architecture — Staircase diagonal calculations.
Surveying — Triangulation distance measurements.
Woodworking — Checking squareness of frames.
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