## Area of a triangle Math Studies

Number and algebra, Descriptive statistics, Logic, sets and probability, Statistical applications, Geometry and trigonometry, Mathematical models, Introduction to differential calculus.

### Area of a triangle Math Studies

IB Mathematical Studies SL – Trigonometry, Area of a triangle

How can we find the area of a triangle ABC with sides $a=3 \ cm, b=1 \ cm$

and included angle $\hat{C}=30^{\circ}$ ?

Thanks!
hill

Posts: 0
Joined: Tue Mar 19, 2013 8:49 pm

### Re: Area of a triangle Math Studies

IB Mathematical Studies SL – Trigonometry, Area of a triangle

The area of a triangle is a half of the product of two sides and the sine of the included angle.

$A=\frac{1}{2}absinC$

Therefore in your case we have the following

$A=\frac{1}{2}(3)(1)sin30^{\circ} =\frac{3}{2} \frac{1}{2}=\frac{3}{4} \ cm^2$

Hope these help!!
elizabeth

Posts: 0
Joined: Mon Jan 28, 2013 8:09 pm

### Re: Area of a triangle Math Studies

Thanks Elisabeth!!
hill

Posts: 0
Joined: Tue Mar 19, 2013 8:49 pm