Write the areaAof an equilateral triangle as a function of the lengthsof its sides.

STEP 1:Find the base of the equilateral triangle in terms ofs.

b=

STEP 2:The height of an equilateral triangle can be found via the Pythagorean theorem. Use this information to findhin terms ofs.

h=²-²=

STEP 3:Recall the formula for the area of a triangle:A=bh/2. Use your results from Step 1 and Step 2 to writeAin terms ofs.

A=