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Area of Triangle
Middle School
Definition
The area of a triangle is half the product of its base and height.
Formulas
A = (1)/(2) × b × h
Basic formula: base × height ÷ 2
- AArea of the triangle
- bLength of the base
- hHeight perpendicular to the base
A = (1)/(2)absin C
Formula using two sides and included angle
- a, bLengths of two sides
- CAngle between the two sides
A = √s(s-a)(s-b)(s-c)
Heron's formula (s = (a+b+c)/2)
Examples
Example 1
Find the area of a triangle with base 6cm and height 4cm.
A = (1)/(2) × 6 × 4 = 12cm²
Example 2
Find the area of a triangle with sides 5cm and 8cm, and included angle 30°.
A = (1)/(2) × 5 × 8 × sin 30° = 10cm²
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