Question

Please help me find the answer or at least give me the formula

Answer 1

Answer:

$2\sqrt{2x}$ or $8x^2$

Step-by-step explanation:

first you find the distance between P and O which is 4n (use the distance formula -- $\sqrt{\left(x_1-x_2\right)^2+\left(y_1-y_2\right)}$)

then find the distance between O and Q also using the distance formula; it gives you 4n

then find the hypotunuse by using the pythagorean theorem, $a^2+b^2=c^2$ which would be $4n^2+4n^2=hypotenuse$ and when you simplify it, you get $8x^2$ and if you need it in radical form, it would be $2\sqrt{2x}$

Answer 2

Answer:

$Hypotenuse = 4n \sqrt{2}$

Step-by-step explanation:

Catethus1=4n

Catethus2=4n

Hypotenuse=?

$Hypotenuse= \sqrt{{(catethus1)}^{2} + {(catethus2)}^{2}} \: = \sqrt{{(4n)}^{2} + {(4n)}^{2}} \: = 4n \sqrt{2}$