Right Triangle Similarity- Open Middle Problem

Directions: Using the numbers 1 to 9 and math operations of (+, -, x, ÷), how many different triangles can you create where tan Θ=.75?

Right_Triangle_With_Labeled_Sides

Note: you can only use each number once per triangle created.

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TV Cabinet

Ryan is creating a TV Cabinet in Shop class, if he wants to make sure his cabinet will fit any 55″ widescreen TV, how big should the opening be?

TV Cabinet

Hint: Widescreen aspect ratios are 16:9.