Question

please solve this problem​

Answer 1

${ab}^{2} = {ao}^{2} + {ob }^{2}$

${ab}^{2} = {ao}^{2} + {5}^{2}$

$169 = {ao}^{2} + 25$

${ao}^{2} = 169 - 25$

${ao}^{2} = 144$

$\sqrt{ao ^{2} } = \sqrt{144}$

$ao = 12$

Now,

${ac }^{2} = {ao}^{2} + {oc}^{2}$

${15}^{2} = {12}^{2} + {oc}^{2}$

${oc}^{2} = {15}^{2} - {12}^{2}$

${oc}^{2} = 225 - 144$

$\sqrt{ {oc}^{2} } = \sqrt{81}$

$oc = 9$

BC=OB+OC

BC=5+9

BC=14 cm