Mark M. answered • 04/08/16

Mathematics Teacher - NCLB Highly Qualified

Draw and label of diagram.

Draw an altitude, "a," from the base to the opposite vertex.

The altitude bisects the base.

You two congruent right triangles withe legs of 0.5 and "a," and a hypotenuse of 1.

1

^{2}= (0.5)^{2}+ a^{2}1 = 0.25 + a

^{2}0.75 = a

^{2}3/4 = a

^{2}√3 / 2 = a

Area of equilateral triangle is (0.5)(1)(√3 / 2), or √3 / 4.