Question

Find the value of x so that the length of the segment joining the origin to (x, 8) is 10 units.

Answer 1

Answer:

The value of x is 6.

Step-by-step explanation:

Formula

$Distance\ formula = \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}$

As given

The length of the segment joining the origin i.e (0,0) to (x, 8) is 10 units.

Thus

$10=\sqrt{(x-0)^{2}+(8-0)^{2}}$

Taking square on both side

$10^{2}=(\sqrt{(x-0)^{2}+(8-0)^{2}})^{2}$

$100=(\sqrt{(x)^{2}+(8)^{2}})^{2}$

100 = x² + 64

100 - 64 = x²

36 = x²

$x = \sqrt{36}$

x = 6

Therefore the value of x is 6.