Question

ਉਤਰ ਉਹ ਹੀ ਦਿਓ ਜੇ ਜੀਹਨੂੰ ਆਉਂਦਾ ਨਹੀਂ ਮੈਨੂੰ ਗਾਲ੍ਹਾਂ ਬਹੁਤ ਆਉਂਦੀਆਂ

Find the length of the tangent from a point M which is at a distance of 17 cm from the centre O of the circle of radius 8 cm.​

Answer 1

$\underline{ \tt \: refer \: to \: the \: attachment \: for \: figure}$

As we know that,

tangent is perpendicular to radius

so,

$\bf \: \angle \: opm = 90 \: degree$

so, by Pythagorean theorem in

∆ POM

${om}^{2} = {pm}^{2} + {op}^{2} \\ \\ {pm}^{2} = {om}^{2} - {op}^{2} \\ \\ {pm}^{2} = {(17)}^{2} - {(8)}^{2} \\ \\ {pm}^{2} = 225 \\ \\ pm = 15 \: cm$

Hence, the length of tangent will be 15 cm.