Answer to Question #163737 in Geometry for AYRIAH

Question

The basal edge is 6 cm. of the regular triangular prism. What is the area of the base?

Answer 1

If the prism is regular then its base is an equilateral triangle with a side of 6 cm. Its area is $\frac{a^2\sqrt3}{4}$ , where a is the length of a side. So the area is $\frac{6^2\cdot\sqrt3}{4}=9\sqrt3$ $cm^2$ .