Triangle mno is an equilateral triangle with sides measuring 16 units what is the height of the triangle?

see the attached figure to better understand the problem

we know that

The equilateral triangle has three equal sides

so

in the equilateral triangle ABC

the height of the triangle is the segment BD

in the right triangle BCD

Applying the Pythagorean Theorem

solve for BD

substitute the values

therefore

the answer is

the height of the triangle is

step by step solution :

step   1   :

1.1     4 = 22

(4)3 = (22)3 = 26

equation at the end of step   1   :

  ((23) • 26)2

step   2   :

equation at the end of step   2   :

  (23 • 26)2

step   3   :

final result :

  218

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