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Triangle Tutorial
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Triangle Tutorial
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Triangle Definition:
A triangle has three corners or vertices and three sides or edges which are straight
line segments.
Equilateral Triangle Definition:
Equilateral triangle is a triangle that has equal length on all three sides.
SAS Triangle Definition:
If two sides and the included angles of two triangles are correspondingly equal, the
two triangles are congruent. This is called SAS Triangle.
Triangle Formula:
Area of Triangle = l * b/2
Perimeter of Triangle = a + b + c
Area of Equilateral Triangle = (Sqrt(3) / 4) * l²
Area of SAS Triangle = ½ * l * b * SinC
where
l = length, b = breadth
a, b, c = sides of triangle
| Equilateral Triangle Image/Diagram | SAS Triangle Image/Diagram |
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Triangle Example:
Case 1: Find the area of a triangle from the given length 3 and breadth 4.
Step 1: Find the area.
Area = l * b/2 = 3 * 4/2 = 12/2 = 6.
Case 2: Find the perimeter of a triangle from the given side 1, 2, 3.
Step 1: Find the perimeter.
Perimeter = a + b + c = 1 + 2 + 3 = 6.
Case 3: Find the area of a equilateral triangle from the given length 3.
Step 1: Find the area.
Area = (Sqrt(3) / 4) * l² = (1.73 / 4) * 3² = 0.43 * 9 = 3.87.
Case 4: Find the area of a SAS triangle from the given length 3 and breadth 4 and angle 28 degree.
Step 1: Find the area.
Area = ½ * l * b * SinC = 0.5 * 3 * 4 * Sin(28) = 6 * 0.27 = 1.62.
The above example will clearly illustrates how to calculate the Area, Perimeter of a Triangle, Equilateral Triangle,
SAS Triangle manually.
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This tutorial will help you dynamically to find the Math area problems.
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