HCL Company Numerical Ability Arithmetic

Is the length of a side of equilateral triangle E less than the length of a side of square F?

The perimeter of E and the perimeter of F are equal.

The ratio of the height of triangle E to the diagonal of square F is 2√3 : 3√2.

A

B

C

D

E

Read Solution (Total 2)

If each side of triangle is E and that of square if F, then since their perimeter is equal hence, 3E=4F.
This implies E=4/3F.
Now the diagonal of square would be sqrt(2)*F and the height of triangle would be sqrt(3)/2*F
Thus, the ratio would be (sqrt(3)/2*E)/sqrt(2)*F.
Substitute E in terms of F.
Upon solving, this comes out to be sqrt(2)/sqrt(3).
11 years agoHelpfull: Yes(8) No(0)

question either wrong or incomplete
since E
9 years agoHelpfull: Yes(2) No(0)

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