Calculate Area Using Special Right Triangles and Right Triangle Trig
Name: _______________________
Write on another sheet(s) of paper.
Part I Find the exact area using special right triangle relationships- NO TRIG – NO Decimals
Each problem will need a clear detailed solution with visuals- diagrams.
1] An equilateral triangle with perimeter =27 feet.
2] An isosceles triangle with vertex angle= 120 and base of 44 mm.
3] Regular hexagon with a side= 15 inches.
4] Regular hexagon inscribed in a circle with radius= 14 cm.
5] Regular hexagon with apothem= 4 15 [apothem is the height of the isosceles triangle]
Part II Solve these problems using right triangle trig – Decimals Allowed- Round final answers to the tenths place.
Each problem will need a clear detailed solution with visuals- diagrams. Calculate the area of
6] A regular 7-gon with side length 6.5 cm.
7] A regular nonagon with radius =10.3 cm.
8] Volume and Surface Area of a right regular pentagonal prism with height of 85 cm and base edge of 20cm.