A polygon that has three sides and three vertices is called a triangle. The sum of all angles of a triangle is equal to 180 degrees. The two important triangle formulas are the area of a triangle and the perimeter of a triangle formula. Further, the triangle formulas are applicable to different types of triangles.
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The two important triangle formulas are its area and the perimeter. The area of the triangle is equal to half of the product of the base and height of the triangle, and the perimeter of the triangle is equal to the sum of all the sides of the triangle.
Area of triangle, A = [(½) base × height] square units.
Perimeter of a triangle, P = (a + b + c) units.
Let us check a few solved examples to better understand the Triangle Formulas.
Solved Examples on Triangle Formula
Example 1: Find the area of a triangle whose base is 40 units and its height is 25 units.
To find: The area of a triangle
The base of a triangle = 40 units (given)
Height of triangle = 25 units (given)
Using Formulas Triangle,
Area of triangle, A = [(½) base × height] square units
= [(½) 40 × 25] square units
= 500 square units
Answer: The area of the triangle is 500 square units.
Example 2: A triangle has sides a = 5 units, b = 10 units, and c = 6 units. What is the perimeter of this triangle?