Question

How do you find the area of the triangle given `A=5^circ15', b=4.5, c=22`?

Answer 1

Use `A_triangle=1/2(a)(b)sin(C)`.

Explanation:

One of the many formulas to find the area of a triangle is:
`A_triangle=1/2(a)(b)sin(C)` where `a` and `b` and side lengths and `C` is the angle between sides `a` and `b`

For this problem, we first convert angle A to degrees:
Since there are 60 minutes in a degree and `15/60=.25`, `5^@15'=5.25^@`.

Now we simply plug the values into the area formula above:
`A_triangle=1/2(4.5)(22)sin(5.25^@)`
`=4.529` `"units"^2`

Therefore, the area of the triangle is 4.529 sq. units.