find the altitude of the equilateral traingle whose side is y cm
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Answer:
The altitude of the euilateral triangle, bisects the base.
Consider an equilateral triangle ABC, with AD as an altitude on BC.
Hence, CD =
2
a
In triangle ACD,
AC
2
=CD
2
+AD
2
(Pythagoras theorem)
a
2
=(
2
a
)
2
+AD
2
AD
2
=a
2
−
4
a
2
AD
2
=
4
3
a
2
AD=
2
3
a
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