Merlinemicheli5170 Merlinemicheli5170
  • 04-09-2018
  • Mathematics
contestada

The corners of a square lie on a circle of diameter d = 0.35 m. each side of the square has a length l. find l.

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pinquancaro pinquancaro
  • 13-09-2018

Refer to the attached image.

As we can observe ABCD is a square, whose corners that is A,B,C and D lie on the circle.

The diameter AC = 0.35 meter.

We have to find the side of square.

Let the measure of side of a square be 'l' meter

In triangle ABC,

By Pythagoras theorem, we get

[tex](AC)^2 = (AB)^2 + (BC)^2[/tex]

[tex](0.35)^2 = (l)^2 + (l)^2[/tex]

[tex](0.35)^2 = 2(l)^2[/tex]

[tex]\frac{(0.35)^2}{2} = (l)^2[/tex]

[tex]l^2 = 0.06125[/tex]

So, l = 0.25 meter

Therefore, the measure of side of the square is 0.25 meter.


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