Introduction to explain triangle math:
A triangle is one of the basic shapes of geometry: a polygon with three corners or vertices and three sides or edges which are line segments. A triangle with vertices A, B, and C. the triangle is explained in the following content.(source: Wikipedia)
If a, b and c are three collinear points, the figure made up by three line segments AB, BC and CA is called a triangle.
The elements of a triangle are,
1. Side AB
2. Side AC
3. Side BC
4. Angle ABC
5. Angle ACB
6. Angle BAC
Explain triangle math -Area of the triangle:
The space covered by the triangle on the surface is called area of the triangle.
Perimeter of triangle:
The distance around the outside of the triangle is called perimeter of triangle.
Types of triangle:
Triangle is classified by its side and angle.
Based on the sides:
1.Equilateral triangle
Math formula:
Area of equilateral triangle (A) = a2 `sqrt(3) /4` square units
Perimeter of equilateral triangle (P) = 3a units
2.Isosceles triangle
Math formula:
Area of isosceles triangle (A) = `1/2` bh square units
Perimeter of isosceles triangle (P) = 2a + b units
3.Scalene triangle
Math formula:
Area of scalene triangle (A) = `1/2` bh square units
Perimeter of scalene triangle (P) = 2a + b units
Based on the angles:
1.Right triangle
Math formula:
Area of right triangle (A) = `1/2` bh square units
Perimeter of the right triangle (P) = a + b + c units
2.Obtuse triangle
Math formula:
Area of the obtuse triangle (A) = `sqrt(s(s-a)(s-b)(s-c))` square units
S = `1/2` (a + b + c)
Perimeter of the obtuse triangle (P) = a + b + c units
3.Acute triangle
Math formula:
Area of the acute triangle (A) = `sqrt(s(s-a)(s-b)(s-c))` square units
S = `1/2` (a + b + c)
Perimeter of the acute triangle (P) = a + b + c units
Explain triangle math -Property of triangle:
The sum of the angles of a triangle is 1800
The external angle of triangle is equal to sum of opposite internal angles.
The sum of any two sides of a triangle is greater than the third side.
AB+BC > AC
AB+AC>BC
AC+BC>AB
Pythagoras theorem:
In a right triangle, the square of the longest side is equal to the sum of squares of the remaining two sides.
AC2 = AB2 + BC2
The above explained content will be very helpful to study of triangle math.
A triangle is one of the basic shapes of geometry: a polygon with three corners or vertices and three sides or edges which are line segments. A triangle with vertices A, B, and C. the triangle is explained in the following content.(source: Wikipedia)
If a, b and c are three collinear points, the figure made up by three line segments AB, BC and CA is called a triangle.
The elements of a triangle are,
1. Side AB
2. Side AC
3. Side BC
4. Angle ABC
5. Angle ACB
6. Angle BAC
Explain triangle math -Area of the triangle:
The space covered by the triangle on the surface is called area of the triangle.
Perimeter of triangle:
The distance around the outside of the triangle is called perimeter of triangle.
Types of triangle:
Triangle is classified by its side and angle.
Based on the sides:
1.Equilateral triangle
Math formula:
Area of equilateral triangle (A) = a2 `sqrt(3) /4` square units
Perimeter of equilateral triangle (P) = 3a units
2.Isosceles triangle
Math formula:
Area of isosceles triangle (A) = `1/2` bh square units
Perimeter of isosceles triangle (P) = 2a + b units
3.Scalene triangle
Math formula:
Area of scalene triangle (A) = `1/2` bh square units
Perimeter of scalene triangle (P) = 2a + b units
Based on the angles:
1.Right triangle
Math formula:
Area of right triangle (A) = `1/2` bh square units
Perimeter of the right triangle (P) = a + b + c units
2.Obtuse triangle
Math formula:
Area of the obtuse triangle (A) = `sqrt(s(s-a)(s-b)(s-c))` square units
S = `1/2` (a + b + c)
Perimeter of the obtuse triangle (P) = a + b + c units
3.Acute triangle
Math formula:
Area of the acute triangle (A) = `sqrt(s(s-a)(s-b)(s-c))` square units
S = `1/2` (a + b + c)
Perimeter of the acute triangle (P) = a + b + c units
Explain triangle math -Property of triangle:
The sum of the angles of a triangle is 1800
The external angle of triangle is equal to sum of opposite internal angles.
The sum of any two sides of a triangle is greater than the third side.
AB+BC > AC
AB+AC>BC
AC+BC>AB
Pythagoras theorem:
In a right triangle, the square of the longest side is equal to the sum of squares of the remaining two sides.
AC2 = AB2 + BC2
The above explained content will be very helpful to study of triangle math.
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