find the length of a tangent drawn from a point 13 cm away from the centre of a circle of radius 12cm
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we have to find the length of tangent drawn from a point 13cm away from the centre of a circle of radius 12cm.
Let tangent is drawn from P which touches the circle at T. e.g., length of tangent is PT and centre of circle is O.
Given, PO = 13cm , OT = radius = 12cm
we know, tangent is perpendicular upon radius of circle so, ∆POT is right angled triangle.
so, PT² + OT² = OP²
PT² + 12² = 13²
PT² = 169 - 144 = 25
PT = 5cm
hence, length of tangent = 5cm
Let tangent is drawn from P which touches the circle at T. e.g., length of tangent is PT and centre of circle is O.
Given, PO = 13cm , OT = radius = 12cm
we know, tangent is perpendicular upon radius of circle so, ∆POT is right angled triangle.
so, PT² + OT² = OP²
PT² + 12² = 13²
PT² = 169 - 144 = 25
PT = 5cm
hence, length of tangent = 5cm
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