For equilateral , . Squares and triangles on the sides form hexagon . Find the perimeter of .
The perimeter of the hexagon formed by squares and triangles on sides with an equilateral triangle , .
The perimeter of any figure is given by the sum of the total length of its boundary
is an equilateral triangle with
, and are squares
, and are triangles.
Since, is an equilateral triangle all the three sides of the triangle are congruent.
As such each of the squares , and are formed with one of ifs sides in common with the equilateral triangle each side of all the three squares measures 6 units.
Further, two of the adjacent sides of the triangle , and are formed by the sides of the square which in turn makes the triangle as an isosceles triangle with equal sides measure 6 units.
The interior angles formed at the vertex , and of the triangle , and is give by
the interior angle of the equilateral
Now, consider one of the isosceles and draw , which bisects and also the angle
Thus, the obtained two right triangle is of the type type with
Hypotenuse (Opposite to )
Longer leg (Opposite to )
= shorter leg (Opposite to )
By the application of theorem
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