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nirvana33 [79]
3 years ago
8

Find the area of the equilateral triangle

Mathematics
2 answers:
uranmaximum [27]3 years ago
8 0

Answer:

Step-by-step explanation:

Suppose that the side length is s.  Imagine that one side is level.  Draw a vertical line through the top vertex perpendicular to the base (level side).  Label this vertical line "h."  Then h and s are related as follows:

                               √3          h

sin 60 degrees = ------- = --------

                                 2           s

                                                                   s√3

and so h = the height of the triangle =  -----------

                                                                       2

The area of this triangle is (1/2)(base)(height), which here is:

(1/2)(s/2)( s√3 /2), or

        (s^2)√3

A = ---------------

               8                                

dezoksy [38]3 years ago
6 0
Is there supposed to be a picture of the triangle?
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