A square has two of its vertices on a circle and the other two on the tangent to the circle if the diameter of the circle is 10 determine the side of the square
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Side of square is
Step-by-step explanation:
- Here it given that vertices of square lie on circle. We know that each angle of square is 90° as well as it lie on circle. So its diagonal is pass through centre of circle.
- It means diameter of circle is diagonal of square.
- We know relation between side and diagonal of square.
On rationalise the denominator, we get
This is side of square.
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We have to find the side of the square.
Since there is a angle of 90° because of tangent. So, diameter of circle is diagonal of square.
We know the relation between side and diagonal of the square
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