Question

Find g. 45° 45° g 3


`3 √(2)`
Write your answer in simplest radical form, units​

Answer 1

Explanation:

sin45=3√2/g

g=3√2/(1÷√2)=3×√2×√2=3×2=6units

Answer 2

g = 6 units

Explanation:

In the given right angled triangle , rest 2 angles are same i.e. 45° each.

Lets assume the angle opposite to the side whose measure is 3√2 units as α (alpha).

⇒ α = 45°

So ,

`\sin \alpha = (side \: opposite \: to \: \alpha )/(hypotenuse)`

`=> \sin 45 = (3√(2))/(g)` (
`\alpha = 45` )

`=> (1)/(√(2)) = (3√(2))/(g)` (∵
`\sin 45 = (1)/(√(2))` )

`=> g = 3√(2) * √(2) = 6`