a square is divided four equal triangle is 9.what is the side of the square
Answers
Answered by
5
Answer
Correct option is
D
27
3
Knowing that the triangle is equilateral makes everything easier: the heights are also medians.
Let the sides of triangle be a and h be the median
the triangle can be divided into two congruent right triangles and according to pythagorams theoram a
2
=h
2
+(
2
a
)
2
,so (
4
3
)a
2
=h
2
i.e a
2
=(
3
4
)h
2
thus we get that side is given by a=
3
2
3
h
=
3
2
3
×9=6
3
d
now the area
A=
2
a×h
=
2
3
2
3
h
h
=
3
3
h
2
=
3
3
81=27
3
Answered by
1
Answer:
sorry and tell the answer
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