Question

if distance between (4,0)&(0,x) is 5 find x​

Answer 1

Step-by-step explanation:

By distance formula between two points:

$\sqrt{ {(4 - 0)}^{2} + {(0 - x})^{2} } = 5 \\ \sqrt{ {(4)}^{2} + {( - x)}^{2} } = 5 \\ \sqrt{16 + {x}^{2} } = 5 \\ squiring \: both \: sides \: we \: find \\ 16 + {x}^{2} = 25 \\ {x}^{2} = 25 - 16 \\ = 9 \\ x = 3 \: units$