Question

1) The length of tangent drawn to
a circle with radius 5 cm from a
point 13 cm from the centre is *
a) 8 cm
b) None of these
c) 18cm
d) 12 cm​

Answer 1

Answer:

according to question

it will form a right angle triangle

so

suppose length of tangent is =x

${x }^{2} + {5}^{2} = {13}^{2} \\ \\ {x}^{2} = {13}^{2} - {5}^{2} \\ \\ x = \sqrt{ {13 }^{2} - {5}^{2} } \\ \\ x = \sqrt{144} \\ \\ x = 12 \: cm$