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

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

What is the Area of Triangle with 3 Sides Equal? If a triangle has 3 equal sides, it is called an equilateral triangle. The area of an equilateral triangle can be calculated using the formula, Area = a2(√3/4), where ‘a’ is the side of the triangle.

How do you find the area of an irregular triangle?

We can find the scalene triangle’s area when the length of its two sides and the included angle are given.

1. When two sides b and c and included angle A is known, the area of the triangle is, Area = (1/2) bc × sin A.
2. When sides a and c and included angle B is known, the area of the triangle is, Area = (1/2) ac × sin B.

How do you find the area of a 90 degree triangle?

Area of one right triangle = 1/2 × l × w. We usually represent the legs of the right-angled triangle as base and height. Thus, the formula for the area of a right triangle is, Area of a right triangle = 1/2 × base × height.

What are the formulas for triangles?

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.

Why is the area of a triangle formula?

The area of a triangle is defined as the total region that is enclosed by the three sides of any particular triangle. Basically, it is equal to half of the base times height, i.e. A = 1/2 × b × h. Hence, to find the area of a tri-sided polygon, we have to know the base (b) and height (h) of it.

How do you find the area of a triangle with 3 sides and one side?

To calculate the area of a triangle given one side and two angles, solve for another side using the Law of Sines, then find the area with the formula: area = 1/2 × ​b​ × ​c​ × sin(A).

How do you find the area of an irregular shape with 4 sides?

The area of any irregular quadrilateral can be calculated by dividing it into triangles. Example: Find the area of a quadrilateral ABCD whose sides are 9 m, 40 m, 28 m and 15 m respectively and the angle between the first two sides is a right angle. The area of the quadrilateral ABCD =(180+126)=306 square meters.

What is the formula of right angle triangle?

The Pythagorean Theorem, a2+b2=c2, a 2 + b 2 = c 2 , is used to find the length of any side of a right triangle.