Question

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

Answer 1

`Hypotenuse = 4n √(2)`

Explanation:

Catethus1=4n

Catethus2=4n

Hypotenuse=?

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

Answer 2

`2√(2x)` or
`8x^2`

Explanation:

first you find the distance between P and O which is 4n (use the distance formula --
`√(\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√(2x)`