Question

Find the length of the tangent to a circle with radius 5cm, from a point at a distance of 13 cm from its centre

Answer 1

Hey!!!

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I'll solve on paper for best understanding

The length of the tangent is 12cm

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Hope this helps

Answer 2

tangent = t = ?
radius = r = 5cm
distance = d = 13cm

so
t ² = r²-d². (Pythagoras thereom)
t² = (5)²-(13)²
t² = 25-169
t² = 144
t = √144
t = 12cm