Question

Find the longer leg of the triangle.

>3
>√3
>9
>√6

Answer 1

The answer to your question is 3 units

Explanation:

Data

Right triangle

Hypotenuse = 2
`√(3)`

angle = 30°

Process

1.- To solve this problem use trigonometric functions

sin Ф = Opposite side / hypotenuse

cos Ф = Adjacent side / hypotenuse

2.- Solve for the Opposite and adjacent sides

Opposite side = Hypotenuse x sin Ф

Adjacent side = Hypotenuse x cos Ф

3.- Substitution

Opposite side = 2√3 x sin 30

= 2√3 x 0.5

= √3

Adjacent side = 2√3 x cos 30

= 2√3 x √3 / 2

= 3

4.- Conclusion

The longer leg is Adjacent side (3 units)