# Triangle eq

Calculate accurate to hundredths cm height of an equilateral triangle with a side length 12 cm. Calculate also its perimeter and content area.

Result

h =  10.39 cm
o =  36 cm
S =  62.35 cm2

#### Solution:

$h=\sqrt{ 12^{ 2 }-(12/2)^{ 2 } }=10.39 \ \text{cm}$
$o=3 \cdot \ 12=36 \ \text{cm}$
$S=12 \cdot \ \sqrt{ 12^{ 2 }-(12/2)^{ 2 } }/2=62.35 \ \text{cm}^2$

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