Question

Find the kissing lengths of the sides of the triangle.

Answer 1

Answer: The last option.

Explanation:

The triangle shown in the figure attached is a right triangle.

1. You can calculate the lenght a as following:

`sin\alpha=(opposite)/(hypotenuse)`

`opposite=a\\hypotenuse=6in\\\alpha=30\°`

Substitute values and solve for a. Then, you obtain:

`sin(30\°)=(a)/(6in)\\a=6in*sin(30\°)\\a=3in`

2. You can calculate the lenght b as following:

`cos\alpha=(adjacent)/(hypotenuse)`

`adjacent=b\\hypotenuse=6in\\\alpha=30\°`

Substitute values and solve for b. Then, you obtain:

`cos(30\°)=(b)/(6in)\\b=6in*cos(30\°)`

`b=3√(3)in`