# How do you find the area of the triangle given C=84^circ30', a=16, b=20?

Nov 9, 2017

The area is $A \approx 159.26$. See explanation.

#### Explanation:

If you have 2 sides of a triangle and the angle between them given, you can calculate the area using:

## $A = \frac{1}{2} a \cdot b \cdot \sin \alpha$

Here you get:

$A = \frac{1}{2} \cdot 16 \cdot 20 \cdot \sin {84}^{o} {30}^{'} \approx 160 \cdot 0.995 \approx 159.26$