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Area of a triangle is the region covered by its three sides in a plane. Area of a triangle is equal to half of product of its base and height. Find the area using heron's formulas and SAS condition, with examples at BYJU'S.
The basic formula for the area of a triangle is equal to half the product of its base and height, i.e., A = 1/2 × b × h. This formula is applicable to all types of triangles, whether it is a scalene triangle, an isosceles triangle, or an equilateral triangle.
The best known and simplest formula is where b is the length of the base of the triangle, and h is the height or altitude of the triangle. The term "base" denotes any side, and "height" denotes the length of a perpendicular from the vertex opposite the base onto the line containing the base.
Formulas for the Area of a Triangle. 1. The most fundamental formula for the area of a triangle is –. A = \frac {1} {2} \cdot \text {base} \cdot \text {height} A = 21 ⋅base ⋅height. 2. For a triangle with adjacent sides a and b and included angle C, A = \frac {ab \sin C} {2} A = 2absinC. 3.
3 days ago · Triangle area formula. A triangle is one of the most basic shapes in geometry. The best known and the most straightforward formula, which almost everybody remembers from school, is: area = 0.5 × b × h, where b is the length of the base of the triangle, and h is the height/altitude of the triangle.
The area of the rectangle is b h = 4 × 5 = 20 square units, so the area of the triangle is 1 2 b h = 1 2 × 4 × 5 = 10 square units. Key intuition: A triangle is half as big as the rectangle that surrounds it, which is why the area of a triangle is one-half base times height.
Area of a Triangle Formula. The area of a triangle [latex]A[/latex] is half the product of its base [latex]b[/latex] and its height [latex]h[/latex]. The height of a triangle is also known as the altitude. This formula works only if the base is perpendicular to the height.
Area of a Triangle tutorial. Pictures, examples and many practice problems on how to find the area of a triangle from its base and its height.
Area of a triangle is equal to half of the product of its base and height. The height of a triangle is the perpendicular distance from a vertex to the base of the triangle. Any of the 3 sides of a triangle can be used as a base. It all depends on where the height is drawn.
If two sides and an included angle are given for a triangle, we can find its area using the following formulas: where A, B, and C are the 3 angles of the triangle and a, b, and c are the lengths of the 3 sides opposite the 3 angles.
