Instructions.
Use this interactive board to explore the relationship between the sides of similar right-angled triangles:
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Adjust the Angle: Slide the \(\theta\) slider at the top left. Notice how all the vertical lines (the Opposite sides) grow or shrink together.
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Change the Size: Drag points \(A\text{,}\) \(B\text{,}\) and \(C\) horizontally along the bottom line (the Adjacent side) to create right-angled triangles of any size.
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Observe the Ratios: Look at the calculations at the bottom of the graph. Even as you change the size of the triangles by dragging the points, what happens to the ratio of the Opposite side divided by the Adjacent side?