Question

F1 = ____ (5√2)/2 10 5 5√2

Answer 1

Answer:

$F_{1}$ = 5

Step-by-step 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$\sqrt{2}$ )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