Enjoying this? A quick like helps keep it online longer.
This content will be deleted in less than 24 hours. If you like it, you can extend its lifetime to keep it available.
Concept: In a right triangle with a fixed vertical leg, how does changing the hypotenuse length affect the opposite angle?
Left Triangle (Fixed): Isosceles Right Triangle. Leg = 100. Angle = 45°.
Right Triangle (Variable): Shared Leg = 100. Hypotenuse = 120.
Conclusion:
Concept: In any triangle, the largest angle is opposite the longest side.
Drag the vertices A, B, or C to change the triangle shape.
Concept: Using the Triangle Inequality on a Quadrilateral.
Theorem: sum of any two sides > third side.
Drag the vertices to reshape the quadrilateral.
Triangle 1 (ABC): AB + BC > AC
Triangle 2 (ADC): CD + DA > AC
Summing them up:
(AB + BC) + (CD + DA) > 2(AC)