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Calculating the area of a triangle depends on the kind of triangle you have.
The area of a triangle can be found in two formulas:
Triangle A is shown below (all lengths are in cm):
For most triangles, the base and height are used as shown above.
To use this formula, angle C needs to be between the two sides. You can remember this through the acronym SAS (Side, Angle, Side).
A triangle is shown below (all lengths are in cm)
What is the area of the triangle?
For right-angled triangles, the height for the right-angled triangle in the formula is equivalent to the vertical side.
An equilateral triangle can be seen below (all lengths are in cm):
The formula for the area of the triangle is but the height is unknown. To work out the height, you need to rearrange and use Pythagoras theorem.
The area of the triangle is the amount of space that the triangle takes up.
The area of any triangle can be found using the formula, area=1/2(absin(c)) or you can also use the formula area= (base × height)/2 if the triangle is right-angled.
The unit of the triangle’s area is the unit the side is measured in ^2 so if the sides were measured in metres the unit of the area would be m^2.
What units would you use to measure the area of this shape?
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