The value of the variables in the right triangle are as follows;
- [tex]v = \frac{3\sqrt{2} }{2}[/tex]
- [tex]w=\frac{3\sqrt{6} }{2}[/tex]
How to find the side of a right tringle?
A right triangle is a triangle that has one of its angles as 90 degrees.
The side of a right triangle can be found by using trigonometric ratios.
Therefore, let's find the variable length of the right triangle as follows;
sin 30 = opposite / hypotenuse
sin 30 = v / 3√2
1 / 2 = v / 3√2
cross multiply
3√2 = 2v
divide both sides by 2
v = 3√2 / 2
Let's find the variable w.
cos 30 = adjacent / hypotenuse
cos 30 = w / 3√2
√3 / 2 = w / 3√2
cross multiply
√3 × 3√2 = 2w
3√6 = 2w
divide both sides by 2
w = 3√6 / 2
learn more on right triangle here: https://brainly.com/question/20521641
#SPJ1
