Find the length of the third side. If necessary, write in simplest radical form

the answer is 4 to the square root of 2

Step-by-step explanation:

7

Step-by-step explanation:

a squared + b squared = c squared

plug it in to get

4 root 2 squared +b squared = 9 squared

(4 root 2)(4 root 2)=32

and 9 squared is 81

so the equation is

32+b squared = 81

subtract 32

b squared = 49

square root both sides

b=7

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this