Introduction of Triangles in Math:
Triangles are closed loop that consists of three sides and three angles. The total interior angle of triangles is 180°. The triangles consist of vertex by joining the two sides of the triangles. The amplitude of the triangle is the distance between vertexes of triangles in to the opposite side of that same vertex of triangles. The length of the altitude is the height of the triangles .
Classification of Triangles in Math:
Classification of Triangles:
There are different types of triangles; they are acute angle triangles, obtuse angle triangles, right angle triangles, Isosceles triangles, equilateral triangles and scalene triangles.
Classification of triangles is based on sides and angles.
Classification based on the sides of the triangles:
Isosceles Triangles – Two sides are equal in this triangle.
Equilateral Triangles – All the three sides of the triangle is equal.
Scalene Triangles – All the three sides are different in length of the triangles.
Classification based on the angle of the triangles:
Acute angle Triangles – The three angles of the triangle is less than 90°.
Obtuse angle Triangles – One of the angles in triangle is greater than 90° (less than 180°).
Right angle Triangles – One of the sides of the triangle is 90°.
Formula and Example Problems – Triangles in Math:
Basic Formula – Triangles in Math:
Area of the triangles in math – ½ b(h)
Where,
b = Base length of the triangles.
h = Height length of the triangles.
Perimeter of the triangle – x + y + z
Where, x, y, and z are the sides of the triangles.
Example Problems – Triangles in Math:
Example 1:
Find the area and perimeter of the equilateral triangle, whose base is 5 cm and height, is 7 cm.
Solution:
Given: base (b) = 5 cm
Height (h) = 6 cm
Formula to find area and perimeter:
Area = 0.5 (b) (h)
Perimeter = a + b + c, where a, b, c are the sides of the equilateral triangle,
Here equilateral triangle have all three sides are equal. Therefore perimeter = 3 a
Area = 0.5 (5 (6)) = 15 cm^2
Perimeter = 3 (5) = 15 cm
Example 2:
Find the perimeter of the triangle whose sides are 4cm, 6cm and 7cm.
Solution:
Given: The sides of the triangle are, a = 4cm
b = 6cm and c = 7cm.
Formula: Perimeter = a + b + c = 4 + 6 + 7 = 17cm.
Answer: perimeter of the triangle = 17cm.
Triangles are closed loop that consists of three sides and three angles. The total interior angle of triangles is 180°. The triangles consist of vertex by joining the two sides of the triangles. The amplitude of the triangle is the distance between vertexes of triangles in to the opposite side of that same vertex of triangles. The length of the altitude is the height of the triangles .
Classification of Triangles in Math:
Classification of Triangles:
There are different types of triangles; they are acute angle triangles, obtuse angle triangles, right angle triangles, Isosceles triangles, equilateral triangles and scalene triangles.
Classification of triangles is based on sides and angles.
Classification based on the sides of the triangles:
Isosceles Triangles – Two sides are equal in this triangle.
Equilateral Triangles – All the three sides of the triangle is equal.
Scalene Triangles – All the three sides are different in length of the triangles.
Classification based on the angle of the triangles:
Acute angle Triangles – The three angles of the triangle is less than 90°.
Obtuse angle Triangles – One of the angles in triangle is greater than 90° (less than 180°).
Right angle Triangles – One of the sides of the triangle is 90°.
Formula and Example Problems – Triangles in Math:
Basic Formula – Triangles in Math:
Area of the triangles in math – ½ b(h)
Where,
b = Base length of the triangles.
h = Height length of the triangles.
Perimeter of the triangle – x + y + z
Where, x, y, and z are the sides of the triangles.
Example Problems – Triangles in Math:
Example 1:
Find the area and perimeter of the equilateral triangle, whose base is 5 cm and height, is 7 cm.
Solution:
Given: base (b) = 5 cm
Height (h) = 6 cm
Formula to find area and perimeter:
Area = 0.5 (b) (h)
Perimeter = a + b + c, where a, b, c are the sides of the equilateral triangle,
Here equilateral triangle have all three sides are equal. Therefore perimeter = 3 a
Area = 0.5 (5 (6)) = 15 cm^2
Perimeter = 3 (5) = 15 cm
Example 2:
Find the perimeter of the triangle whose sides are 4cm, 6cm and 7cm.
Solution:
Given: The sides of the triangle are, a = 4cm
b = 6cm and c = 7cm.
Formula: Perimeter = a + b + c = 4 + 6 + 7 = 17cm.
Answer: perimeter of the triangle = 17cm.
