Question

F1 = ____
(5√2)/2
10
5
5√2

Answer 1

`F_(1)` = 5

Explanation:

Given
`F_(1)` is perpendicular to
`F_(2)` then Δ ABC is right

Given
`F_(2)` =
`F_(1)`

Then using Pythagoras' identity in the right triangle

`F_(1)` ² +
`F_(2)` ² = (5
`√(2)` )² , that is

2
`F_(1)` ² = 50 ( divide both sides by 2 )

`F_(1)` ² = 25 ( take the square root of both sides )

`F_(1)` = 5