SOLUTION: calculate the area for each of the polygons described below. Round answers to the nearest hundredth and remember to include the unit of measure. Show the work for any values not p

Algebra ->  Polygons -> SOLUTION: calculate the area for each of the polygons described below. Round answers to the nearest hundredth and remember to include the unit of measure. Show the work for any values not p      Log On


   

Question 1174653: calculate the area for each of the polygons described below. Round answers to the nearest hundredth and remember to include the unit of measure. Show the work for any values not provided in the problem, including the height for the triangles in #1
1. An equilateral triangle with a side of 1 inch
Thank you

Found 2 solutions by Boreal, ikleyn:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
the base is 1 inch
the height is a triangle with angle 60 opposite the altitude and angle 30 opposite the base of 1/2. The altitude is therefore (1/2)*sqrt(3)
the area is (1/2)*1*(1/2) sqrt (3)=(1/4)sqrt(3)=0.433 or 0.43
the general formula is sqrt(3)/4 *length of side.

Answer by ikleyn(52884) About Me  (Show Source):
You can put this solution on YOUR website!
.

The general formula for the area of an equilateral triangle is

            A = %28sqrt%283%29%2F4%29%2Aa%5E2,

where  " a "  is the side length.