Respuesta :

Answer:

b = 14[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Since the triangle is right use the cosine ratio to find b

cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{b}{28}[/tex]

Multiply both sides by 28

28 × cos45° = b

28 × [tex]\frac{\sqrt{2} }{2}[/tex] = b ( cancel the 28 and 2 )

b = 14[tex]\sqrt{2}[/tex]

Answer:

14√2.

Step-by-step explanation:

This is a 45-45-90 triangle so the ratio of the sides is 1:1:√2.  ( By the Pythagoras theorem).

so b / 28 = 1 / √2

√2 b = 1*28

b = 28 / √2

= 28√2 / 2

= 14√2  answer.