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

1 Answer
Y
May 9, 2017

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.

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