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Nady [450]
2 years ago
5

If the each side of equalaterial triangle is a cm. what is the area?​

Mathematics
1 answer:
Yuri [45]2 years ago
5 0

Step-by-step explanation:

area \: of \: a \: triangle =  \frac{1}{2}  \times base \times height \\  \\ base =  \frac{a}{2} cm \\  {h}^{2}  +   {( \frac{a}{2} )}^{2}  =  {a}^{2}  \\  \\ h =  \sqrt{ {a}^{2} -  \frac{ {a}^{2} }{4}  }  \\  \\ area \: of \: triangle =  \frac{1}{2}  \times b \times h \\  =  \frac{1}{2}  \times  \frac{a}{2}  \times  \sqrt{ {a}^{2}  -  \frac{ {a}^{2} }{4} }  \\  \\  =  \frac{a}{4}  \times  \sqrt{ {a}^{2} -  \frac{ {a}^{2} }{4}  }

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