Area of a triangle IB Maths

Algebra, Functions and equations, Circular functions and trigonometry, Vectors, Statistics and probability, Calculus. IB Maths SL Revision Notes

Area of a triangle IB Maths

IB Mathematics SL – Trigonometry, Area of a triangle

How can we find the area of a triangle ABC with sides $a=4 \ cm, b=5 \ cm$

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

Thanks!
Jane

Posts: 0
Joined: Tue Mar 19, 2013 8:47 pm

Re: Area of a triangle IB Maths

IB Maths 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

$A=\frac{1}{2}(4)(5)sin30^{\circ} =10 \frac{1}{2}=5 \ cm^2$

Hope these help!!
miranda

Posts: 268
Joined: Mon Jan 28, 2013 8:03 pm

Re: Area of a triangle IB Maths

Thanks a lot!
Jane

Posts: 0
Joined: Tue Mar 19, 2013 8:47 pm