Find the area of the shaded region (three equilateral triangles)
Three equilateral triangles with side lengths
and
, respectively, are joined as shown. Find the area of the shaded region correct to four decimal places.
The answer is 18.1865.
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1 solution
A
=
2
1
(
3
)
(
6
)
(
sin
6
0
)
+
2
1
(
4
)
(
6
)
(
sin
6
0
)
≈
1
8
.
1
8
6
5