Mathematics: F1 = ____ (5√2)/2 10 5 5√2

I don’t speak Spanish, can you put it in English...

F1 = ____ (5√2)/2 10 5 5√2 - id1522105527180318, alyssanewsome

bentonknalige

30.01.2022

$F_{1}$ = 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

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