Find the height of an equilateral triangle having side 2a
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Answered by
4
======
solution:
given : xy=yz=xz=2a (sides)
construction : join YO _|_ XZ
now , XO = a
★BY PYTHAGORAS →
(YO)^2 + (XO)^2 =(XY)^2
(YO)^2=(2a)^2-(a)^2
(YO)^2=4a^2-a^2
(YO)^2= 3a^2
YO= a√3
hence,height =a√3
=========
hope it helps :-)
solution:
given : xy=yz=xz=2a (sides)
construction : join YO _|_ XZ
now , XO = a
★BY PYTHAGORAS →
(YO)^2 + (XO)^2 =(XY)^2
(YO)^2=(2a)^2-(a)^2
(YO)^2=4a^2-a^2
(YO)^2= 3a^2
YO= a√3
hence,height =a√3
=========
hope it helps :-)
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Answered by
6
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