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In the figure,tangents at B and C of th...

In the figure,tangents at B and C of the circle with centre O intersect at point A. If `/_BAC = 90^(@)` then prove `square `BACO is a square

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In `square BACO`
`/_OBA = 90^(@)`
`/_OCA = 90^(@)` ….(Tangent theorem )
`/_BAC= 90^(@)` …..(Given )
`:. /_BOC 90^(@)` ….(The sum of the measures of the angles of quadrilateral s `360^(@)` )
`:. Square BACO ` is a rectangle ....(By definition )
AB = AC ...(Tangent segments theorem )
`:. square BACO ` is a square ...(A rectangle is a square of its adjacent sides are equal )
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