a)
[tex]D = \frac{x-y}{3} |*3\\3D = x - y | -x\\-y = 3D - x |*-1\\y = -3D+x[/tex]
b)
[tex]H=\frac{1}{2} ef*d | /\frac{1}{2} ef\\d = \frac{H}{\frac{1}{2} ef} \\[/tex]
c)
[tex]P=\frac{(a-b)*h}{3} |*3 \\3P = (a-b)*h\\3P = ah - bh |+bh\\3P+bh = ah|/h\\a = \frac{3P+bh}{h}[/tex]
d)
[tex]x=a\sqrt{2} |/\sqrt{2} \\a=\frac{x}{\sqrt{2} } \\a=\frac{x}{\sqrt{2} } *\frac{\sqrt{2} }{\sqrt{2} } \\a=\frac{x\sqrt{2}}{ 2}[/tex]
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Verified answer
a)
[tex]D = \frac{x-y}{3} |*3\\3D = x - y | -x\\-y = 3D - x |*-1\\y = -3D+x[/tex]
b)
[tex]H=\frac{1}{2} ef*d | /\frac{1}{2} ef\\d = \frac{H}{\frac{1}{2} ef} \\[/tex]
c)
[tex]P=\frac{(a-b)*h}{3} |*3 \\3P = (a-b)*h\\3P = ah - bh |+bh\\3P+bh = ah|/h\\a = \frac{3P+bh}{h}[/tex]
d)
[tex]x=a\sqrt{2} |/\sqrt{2} \\a=\frac{x}{\sqrt{2} } \\a=\frac{x}{\sqrt{2} } *\frac{\sqrt{2} }{\sqrt{2} } \\a=\frac{x\sqrt{2}}{ 2}[/tex]