Question

the difference between the area of square and that of an quadrilateral triangle on the same base is 1 by 4 cm square what is length of triangle a side​

Answer 1

Step-by-step explanation:

Let the sides of the square and the equilateral triangle be= s cm.

s^2 -s^2* √3/4 = 1/4, or

4s^2 - √3*s^2 = 1, or

s^2*(4-√3) = 1, or

s = [1/(4-√3)^0.5] = 1/1.505971179 = 0.664023331cm.

The length of the sides of triangle/ square = 0.664023331 cm. Answer.

Check: Area of square = 0.664023331^2 = 0.440926985 cm^2

Area of equilateral triangle = 0.664023331^2* √3/4 = 0.190926984 cm^2.

Difference in the two areas = 0.25 cm^2.

Answer 2

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