Side of an equilateral triangle is 8 cm. Without using Heron's Formula can we ind the AREA?

Asked by tewari.nikhil | 7th Jun, 2008, 04:23: PM

Expert Answer:

let the triangle be ABC draw a perpendicular from A to BC which will divide the triangle ABC into to equal triangles.

Now in one smal triangle 1 side is 4 and the other one is 8. lets find the length of perpendicular with the help of pythagoras formula

42 + p2 = 82

16 + p2 = 64

p = 48 = 43

now the area of the small triangle is 1/2 x base x height

= 1/2 x 4 x 43

= 83

area of the triangle ABC is = 2 x 83 = 163 = 27.71 cm2

Answered by  | 7th Jun, 2008, 06:26: PM

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