Question

If a(x,0) and b(0,3) and ab= 5 then find x using distance formula.In brainly

Answer 1

given

two points. a(x,0) and b(0,3)

ab is 5 units

To find,

value of x

Solution

$distance \: formula = \sqrt{(a - {a}^{..}) {}^{2} + (b - b {}^{..} ) {?}^{2} }$

Here, a=x. b=0. a..=0 b..=3

therefore,

$5 = \sqrt{(x - 0) {}^{2} + (0 - 3) {}^{2} }$

squaring on both sides,

$25 = x {}^{2} + 3 {}^{2} \\ 25 = x {}^{2} + 9 \\ 25 - 9 = x {}^{2} \\ x {}^{2} = 16 \\ x = \sqrt{16} \\ x = + 4 \: \: or \: - 4$

Ans 4 or -4