Rhombus MATH

Construct a rhombus M A T H with diagonal MT=4cm, angle MAT=120°

Correct answer:

m =  2.3094 cm

Step-by-step explanation:

u=4 cm 1. MT; MT = u = 4 cm 2. S; S   MT ; SM=ST 3. p; p   MT; S  p 4.  TAX;  TAX = 30° 4.  MTY;  MTY = 30° 5. {H,A} = p  AX; TY 6. MATH  m=u/2/sin60°=sinπ/3=2.309=2.3094 cm

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Constructions steps:

1. make angle XAY = 120 deg
2. draw its axis p througth point A....
3. draw two paralels lines l1,l2 to axis p at distance 4/2 = 2 cm
4. intersections of legs of angle XAY and l1, l2 is points is points M and T.
5. make point H - use symmetry of point A in mirror of line MTrhombus

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