CBSE Class 8 Answered
A circle is inscribed in a square.An equilateral triangle side 4√3 cm is inscribed in that circle .The length of the diagonal of the square is.
Asked by pappukumarbharti100 | 05 Dec, 2018, 08:13: PM
Expert Answer
As given in the question, in the figure above, a circle is inscribed in a square and an equilateral triangle is inscribed in a circle.
Let the centre of circle is O, drop a perpendicular line OA to a side of equilateral triangle and
join the centre O to the vertex B of equilateral triangle as shown in figure.
A triangle OAB is formed. It can be seen from figure this ΔOAB has angles 30°, 60° and 90°.
Hence sides are in the ratio 1:√3:2 . Side opposite to 90° is twice the side opposite to 30° .
Side AB = 2√3 cm ( half of the side of equilateral triangle) .
Hence OA = 2 cm and OB = 4 cm. Hence circle diameter = side of square = 8 cm
Hence diagonlal of square 8√2 cm
Answered by Thiyagarajan K | 05 Dec, 2018, 09:37: PM
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