Question Bank - General Aptitude

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The side of a regular hexagon is 10 mm. What is the across flat to the flat of the hexagon?

A.
17.32
B.
1.732
C.
20
D.
30

Solution:

Concept:If you draw the three diagonals in a regular hexagon the hexagon is divided into six equilateral triangles.The length of one side of hexagon = 10 mmLAMIS Theorem states, œIf three coplanar forces acting at a point be in equilibrium, then each force is proportional to the sine of the angle between the other two.Consider three forces F1, F2, F3 acting on a particle or rigid body making angles ?, ?, and ? with each other.Mathematically, \(\frac{{{F_1}}}{{\sin \alpha }} = \frac{{{F_2}}}{{\sin \beta }} = \frac{{{F_3}}}{{\sin \gamma }}\)Calculation:Given:\(\frac{{{5}}}{{\sin 30 }} = \frac{{{x/2}}}{{\sin 60 }} \)Therefore, x = 10 ?3 = 17.32 mm

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