a)
[tex]h = \frac{7 \sqrt{3} }{2} = 3.5 \sqrt{3} [/tex]
[tex]P = \frac{ {7}^{2} \sqrt{3} }{4} = \frac{49 \sqrt{3} }{4} = 12.25 \sqrt{3} [/tex]
b)
[tex]h = \frac{2.4 \sqrt{3} }{2} = 1.2 \sqrt{3} [/tex]
[tex]P = \frac{(2.4 {)}^{2} \sqrt{3} }{4} = \frac{5.76 \sqrt{3} }{4} = 1.44 \sqrt{3} [/tex]
c)
[tex]h = \frac{ \frac{1}{3} \sqrt{3} }{2} = \frac{1}{3} \sqrt{3} \times \frac{1}{2} = \frac{1}{5} \sqrt{3} [/tex]
[tex]P = \frac{( \frac{1}{3} {)}^{2} \sqrt{3} }{4} = \frac{ \frac{1}{9} \sqrt{3} }{4} = \frac{1}{9} \sqrt{3} \times \frac{1}{4} = \frac{1}{36} \sqrt{3} [/tex]
d)
[tex]h = \frac{3.5 \sqrt{3} }{2} = 1.75 \sqrt{3} [/tex]
[tex]P = \frac{(3.5 {)}^{2} \sqrt{3} }{4} = \frac{12.25 \sqrt{3} }{4} [/tex]
e)
[tex]h = \frac{6 \sqrt{3} }{2} = 3 \sqrt{3} [/tex]
[tex]P = \frac{ {6}^{2} \sqrt{3} }{4} = \frac{36 \sqrt{3} }{4} = 9 \sqrt{3} [/tex]
f)
[tex]h = \frac{1 \frac{2}{7} \sqrt{3} }{2} = \frac{9}{7} \sqrt{3} \times \frac{1}{2} = \frac{9}{14} \sqrt{3} [/tex]
[tex]P = \frac{( \frac{9}{7} {)}^{2} \sqrt{3} }{4} = \frac{ \frac{81}{49} \sqrt{3} }{4} = \frac{81}{49} \sqrt{3} \times \frac{1}{4} = \frac{81}{196} \sqrt{3} [/tex]
