Question Number 9914 by Tawakalitu ayo mi last updated on 15/Jan/17
Answered by mrW1 last updated on 15/Jan/17
$$\frac{{QA}}{{PQ}}=\frac{{RA}}{{PR}} \\ $$$$\frac{{QA}}{\mathrm{15}}=\frac{{RA}}{\mathrm{9}} \\ $$$${QA}=\frac{\mathrm{15}}{\mathrm{9}}{RA}=\frac{\mathrm{5}}{\mathrm{3}}{RA}=\frac{\mathrm{5}}{\mathrm{3}}\left({QR}−{QA}\right) \\ $$$$\mathrm{3}{QA}=\mathrm{5}{QR}−\mathrm{5}{QA} \\ $$$${QA}=\frac{\mathrm{5}}{\mathrm{8}}{QR}=\frac{\mathrm{5}}{\mathrm{8}}×\mathrm{16}=\mathrm{10}\:{cm} \\ $$$${QM}=\frac{\mathrm{1}}{\mathrm{2}}{QR}=\frac{\mathrm{1}}{\mathrm{2}}×\mathrm{16}=\mathrm{8}\:{cm} \\ $$$${AM}={QA}−{QM}=\mathrm{10}−\mathrm{8}=\mathrm{2}\:{cm} \\ $$
Commented by Tawakalitu ayo mi last updated on 15/Jan/17
$$\mathrm{God}\:\mathrm{bless}\:\mathrm{you}\:\mathrm{sir}.\:\mathrm{i}\:\mathrm{really}\:\mathrm{appreciate}. \\ $$