Answers

2015-12-28T21:38:09+08:00
Si quelateral means all sides are equal given ABC 
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2015-12-29T13:03:09+08:00
A.) Given the altitude of the equilateral triangle, find the side.
      Let b be a side of the triangle (all sides are equal in measure)
      Altitude / Height = 5 cm

Find the side:
b = ( \frac{2}{ \sqrt{3} } )(h)

b = ( \frac{2}{ \sqrt{3} } )(5 cm)

b =  \frac{10cm}{ \sqrt{3} }

b =  \frac{10cm}{1.73}

b = 5.78 cm

B)  Solve for the area:
Area of triangle =  \frac{(base)(height)}{2}

Area =  \frac{(5.78cm)(5cm)}{2}

Area =  \frac{28.9cm ^{2} }{2}

Area ≈ 14.45 cm²

ANSWER:  The area is 14.45 cm².


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