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CBSE Class 9 Answered

In an equilateral triangle O is any point in the interior of the triangle and perpendiculars are dr
Asked by | 09 Dec, 2009, 10:47: PM
answered-by-expert Expert Answer

Consider an equi lateral Triangle,  O is an iterier point

Now devide triangle in to three partsAOB,BOC, AOC

Sum of the areas of all the three triangles  =   1/2 X BaseX Height  =  1/2  X  a  X(h1+h2+h3)   (1)

Area of the ABC   =3 /4    a2   (2)

Eqaution (1)=(2)

1/2  X  a  X(h1+h2+h3) =3 /4    a2  h1+h2+h3=(3/2) a

Regards

Team

Topper Learning

Answered by | 07 Jan, 2010, 03:18: PM

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