Establish the sine, cosine and area rules for any triangle and solve related problems (VCMMG367)
LO: To utilise Heron’s Formula to find the area of non-right angled triangles.
Know:
- how to multiply 3 sides of a triangle.
- how to square root a number using digital technologies.
Understand:
- That Heron’s formula can be utilised to find the area of non-right angled triangles.
Do:
- I can utilise Heron’s Formula to find the area of non-right angled triangles.
Properties of Right-Angled Triangles
“Opposite” is the opposite to the angle.
“Adjacent” is next to to the angle.
“Hypotenuse” is the long side of the right-angled triangle.
Heron’s Formula
Finding the area of a right-angled triangle is pretty simple. You just need to multiply the base of the triangle by the height and divide the answer by two.
However, with a non-right angled triangle, this is a little bit trickier.
The first step is to find out the value of “S“.
S is basically the perimeter of the triangle divided by two.
Once you know the “S” value, you just have to just apply Heron’s Formula which is the square root of S multiplied by S minus side “A”, S minus side “B” and S minus side “C”.
Cosine Law
