Question

Answer this pls Help!

Answer 1

Answer:

$bd = \frac{168}{25} \\ \\ \\ cd = \frac{24}{25} \\ \\ \\ ad = \frac{7}{25}$

Step-by-step explanation:

$ad = \sqrt{ {7}^{2} - {bd}^{2} } \\ \\ cd = \sqrt{ {24}^{2} - {bd}^{2} } \\ \\ ad + cd = \sqrt{49 - {bd}^{2} } + \sqrt{576 - {bd}^{2} } \\ \\ \\ 25 = \sqrt{49 - {bd}^{2} } + \sqrt{576 - {bd}^{2} } \\ \\ \\ \\ area \: of \: triangle\: abc = \frac{1}{2} \times bd \times 25 = \frac{1}{2} \times 24 \times 7 \\ \\ bd = \frac{24 \times 7}{25} \\ \\ \\ bd = \frac{168}{25} \\ \\ \\ \\ cd = \sqrt{576 - \frac{ {168}^{2} }{ {25}^{2} } } \\ \\ {cd}^{2} = \frac{360000 - 28224}{625} \\ \\ cd = \frac{24}{25} \\ \\ \\ \\ ad = \sqrt{49 - \frac{ {168}^{2} }{ {25}^{2} } } = \sqrt{ \frac{30625 - 28224}{ {25}^{2} } } \\ \\ \\ \\ \\ = \frac{7}{25}$