CBSE Class 9 Answered
Side of an equilateral triangle is 8 cm. Without using Heron's Formula can we ind the AREA?
Asked by tewari.nikhil | 07 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 | 07 Jun, 2008, 06:26: PM
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