Question

Find g. 45° 45° g 3
$3 \sqrt{2}$
Write your answer in simplest radical form, units​

Answer 1

Step-by-step explanation:

sin45=3√2/g

g=3√2/(1÷√2)=3×√2×√2=3×2=6units

Answer 2

Answer:

g = 6 units

Step-by-step 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 ,

$\sin \alpha = \frac{side \: opposite \: to \: \alpha }{hypotenuse}$

$=> \sin 45 = \frac{3\sqrt{2}}{g}$  ( $\alpha = 45$ )

$=> \frac{1}{\sqrt{2}} = \frac{3\sqrt{2}}{g}$            (∵  $\sin 45 = \frac{1}{\sqrt{2}}$ )

$=> g = 3\sqrt{2} \times \sqrt{2} = 6$