cvFallen
contestada

Figure ABCD is a rectangle whose diagonals intersect at the origin. If point b has the coordinates (a,b), What is the length of diagonal AC?

(Attached Picture)

Figure ABCD is a rectangle whose diagonals intersect at the origin If point b has the coordinates ab What is the length of diagonal AC Attached Picture class=

Respuesta :

B

Using pythagoras theorem
[tex]a^{2} + {b}^{2} = {c}^{2} [/tex]
[tex]2 {a}^{2} + 2 {b}^{2} = 2 {c}^{2} [/tex]
Therefore to find AC (which is 2c)
[tex]2c = \sqrt{2( {a}^{2} + {b}^{2} )} [/tex]
Hence it's B.