Area of a triangle when we know the lengths of … A r e a = 1 2 (b a s e ⋅ h e i g h t) So which side is the base? Area = ½ × (c) × (b × sin A) Which is (more simply): Area = 12 bc sin A.

In elementary geometry you learned that the area of a triangle is one-half the base times the height. We will now use that, combined with some trigonometry, to derive more formulas for the area when … In elementary geometry you learned that the area of a triangle is one-half the base times the height. By changing the labels on the triangle we can also get: Area = ½ ab sin C ; Area = ½ ca sin B; One more example: The area of a triangle is always half the product of the height and base. Area of Triangle Formula To find the area of a triangle, you’ll need to use the following formula: $A=1/2bh$ A is the area, bis the baseof the triangle (usually the bottom side), and his the height(a straight perpendicular line drawn from the base to the highest point of the triangle). If we are given the lengths of two sides of a triangle and the size of angle between them we can use the formula: \(Area = \frac{1}{2}ab\sin C\) The area of a triangle is equal to half the product of two sides times the sine of the included angle. By considering sin A and sin B in a similar way, we obtain Area of a triangle formulas Area of a triangle when we know the base and the height The area of a triangle is equal to half of base times height. Area of a Triangle Formula The area of the triangle is given by the formula mentioned below: Area of a Triangle = A = ½ (b × h) square units where b and h are the base and height of the triangle, respectively.