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Learn how to find the semi-perimeter of a triangle using sides of 22 cm, 18 cm, and 26 cm with our step-by-step explanation.
The semi perimeter of a triangle whose sides are 22 cm 18 cm and 26 cm is
The semi-perimeter of a triangle whose sides are 22 cm, 18 cm, and 26 cm is: 33 cm.
The semi-perimeter of a triangle is half of the sum of its three sides.
Given the sides of the triangle are 22 cm, 18 cm, and 26 cm, the semi-perimeter (s) can be calculated as:
s = (22 + 18 + 26) / 2
s = 66 / 2
s = 33 cm
The semi-perimeter of a triangle whose sides are 22 cm, 18 cm, and 26 cm is: 33 cm.
Properties and Types of Triangle
Triangles are fundamental geometric shapes characterized by three sides and three angles. They can be classified based on various properties, including their side lengths and angle measures. Here are some common classifications of triangles based on their properties:
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Based on Side Lengths:
- Equilateral Triangle: All three sides are of equal length.
- Isosceles Triangle: Two sides are of equal length.
- Scalene Triangle: All three sides have different lengths.
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Based on Angle Measures:
- Acute Triangle: All angles are less than 90 degrees.
- Right Triangle: One angle is exactly 90 degrees.
- Obtuse Triangle: One angle is greater than 90 degrees.
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Based on a Combination of Side Lengths and Angle Measures:
- Equiangular Triangle: All three angles are equal.
- Right Isosceles Triangle: One angle is 90 degrees, and the other two angles are equal.
- Obtuse Isosceles Triangle: One angle is greater than 90 degrees, and the other two angles are equal.
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Based on Special Properties:
- Orthocentric Triangle: A triangle whose altitudes are concurrent.
- Centroidal Triangle: A triangle whose centroid (the point where the medians intersect) is located at one-third of the distance from each vertex along each median.
- Isosceles Right Triangle: A right triangle with two legs of equal length.
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Based on Inequality Theorems:
- Triangle Inequality Theorem: The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
- Converse of the Triangle Inequality Theorem: If the sum of the lengths of any two sides of a triangle is greater than the length of the third side, then a triangle can be formed.
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Based on Ratios of Side Lengths:
- Similar Triangles: Triangles with corresponding angles congruent and corresponding sides proportional.
- Congruent Triangles: Triangles with exactly the same size and shape.
Understanding these properties and types is crucial in geometry for various applications, including solving problems involving triangles in mathematics, engineering, architecture, and other fields.
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