
Do Bees Build It Best? Geometry Trigonometry
ANY TWO SIDES WORK • LEG^2 + LEG^2 = HYP^2
THAT’S ALL THERE IS! • EACH TRIANGLE MUST HAVE AN AREA OF 2 UNITS • EACH TRIANGLE MUST HAVE ITS VERTICES ON PEGS • EACH TRIANGLE MUST HAVE A HORIZONTAL SIDE
FORMING FORMULAS • LOOK FOR WAYS TO CUT UP THE PARALLELOGRAMS AND TRAPEZOIDS INTO TRIANGLES
GOING INTO THE GALLERY • REMEMBER, THE HEIGHT IS ALSO THE ALTITUDE WHICH IS DRAWN PERPENDICULAR TO THE BASE
A RIGHT-TRIANGLE PAINTING • DRAW A RIGHT TRIANGLE THAT HAS A 55 DEGREE ANGLE • EXTEND BOTH SIDES SO THAT THEY ARE AT LEAST 10 CM IN LENGTH
A TRIGONOMETRIC SUMMARY • SIN A = OPPOSITE/HYPOTENUSE • COS A = ADJACENT/HYPOTENUSE • TAN A = OPPOSITE/ADJACENT
A HOMEMADE TRIG TABLE • DRAW A RIGHT TRIANGLE USING THE ASSIGNED ANGLE FOR YOUR GROUP • MEASURE ALL THE SIDES • COMPUTE THE RATIOS OF SIN, COS, AND TAN