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How do I calculate the area of a triangle?

To calculate the area of a triangle, multiply the height by the width (this is also known as the ‘base’) then divide by 2. Find the area of a triangle where height = 5 cm and width = 8 cm. A triangle is always half the area of a rectangle with the same height and width.

What is the geometry formula for a triangle?

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.

What is area of triangle in coordinate geometry?

The area of the triangle is the space covered by the triangle in a two-dimensional plane. The formula for the area of a triangle is (1/2) × base × altitude.

What is the formula of an area?

The most basic area formula is the formula for the area of a rectangle. A = lw (rectangle). That is, the area of the rectangle is the length multiplied by the width. As a special case, as l = w in the case of a square, the area of a square with side length s is given by the formula: A = s2 (square).

Why is the area of a triangle formula?

The area of each triangle is one-half the area of the rectangle. So, the area A of a triangle is given by the formula A=12bh where b is the base and h is the height of the triangle.

How do you find the area of a triangle with 3 vertices?

To find the area of a triangle where you know the x and y coordinates of the three vertices, you’ll need to use the coordinate geometry formula: area = the absolute value of Ax(By – Cy) + Bx(Cy – Ay) + Cx(Ay – By) divided by 2.

Is the area of a triangle squared?

The formula for the area of a triangle is . Once you multiply these three numbers, the answer you find is . The units for area are always squared, so the unit is .

What is the formula for area of all shapes?

Perimeter, Area, and Volume

Table 2. Area Formulas
Shape Formula Variables
Square A=s2 s is the length of the side of the square.
Rectangle A=LW L and W are the lengths of the rectangle’s sides (length and width).
Triangle A=12bh b and h are the base and height

How do you calculate an area of a triangle?

Instructions for finding the area of a triangle. The area of a triangle is found by multiplying the base of the triangle by the height of the triangle and dividing by 2. The formula. 1/2 (b * h)

How do you find the area of a triangle in math?

To find the area of a triangle, multiply half of the triangle’s base times its height. Mathematically, this procedure is described by the formula A = 1/2 x b x h, where A represents the area, b represents the base and h represents height.

What is the approximate area of the triangle?

A triangle is one of the most basic shapes in geometry. The best known and the simplest 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.

What is the formula to find the base of a triangle?

Finding the Base. Using the Pythagorean theorem, you can find the base, a, of a right triangle if you know the lengths of the height, b, and the hypotenuse. Since the hypotenuse squared is equal to the height squared plus the base squared, then: a^2 = c^2 – b^2.