Problem: Each of two angles of a triangle is 60∘60^{\circ}60∘ and the included side is 444 inches. The area of the triangle, in square inches, is:
Answer Choices:
A. 838 \sqrt{3}83
B. 888
C. 434 \sqrt{3}43
D. 444
E. 232 \sqrt{3}23 Solution:
The triangle is equiangular with side 444.
A=s234=4234=43A=\dfrac{s^{2} \sqrt{3}}{4}=\dfrac{4^{2} \sqrt{3}}{4}=4 \sqrt{3}A=4s23=4423=43 \quad