Math, asked by alexsasi07, 10 months ago

A side of equlilateral triangle is 16 cm find the length of its altitude

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Answered by suraj62111
3

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Answered by yattipankaj20
0

The length of its altitude = 13.85 cm

Step-by-step explanation:

In a mathematics geometry is the branch of an equilateral triangle is a triangle in which whole three sides are equal and all three internal angles is also congruent to each other and are each 60^o.

Property of equilateral triangle

  • Area of equilateral; triangle = \frac{\sqrt{3}}{4} \times (side)^2.
  • Number of vertices = 3.
  • Number of edges = 3.
  • Internal angle = 60^o.
  • It is a regular polygon.

Now applying area of equilateral triangle

\frac{\sqrt{3}}{4} \times (side)^2 = \frac{1}{2} \times base\times altitude

\frac{\sqrt{3}}4}\times(AC)^2=\frac{1}{2}\times BC \times AD

AD=8\sqrt3

=13.85 cm

                       

   

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