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- To find the area of a scalene triangle, we need the base length (b) and the height (h) or the side lengths (a, b, c) and the semi-perimeter (s). If you have the base and height, use the formula: Area = 1 2 b h If you have the side lengths, use Heron's formula: Area = s (s − a) (s − b) (s − c) where s = a + b + c 2 (semi-perimeter).
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A scalene triangle has all three sides of unequal lengths. Learn more about scalene triangles, properties, types, formulas, area, perimeter with concepts, definitions, examples, and solutions.
- Properties
- Types
- Formulas
No equal (congruent) sides, in ∆ABC sides AB ≠ BC ≠ CANo equal angles, so ∠ABC ≠ ∠BAC ≠ ∠ACBNo line of symmetryNo point of symmetryScalene triangles are classified into three types: 1) acute scalene triangle, 2) obtuse scalene triangle, and 3) right scalene triangles. The differences between the types are given below:
The formulas for area and perimeter of a scalene triangle are the same as that of other triangles: Area (A) = ½ (b × h), where b=base and h=height Perimeter (P) = a + b + c, where a, b, c are the measures of three sides
Formulas of Scalene Triangle. Let us learn the formulas to find the area and perimeter of a triangle that has unequal sides and angles, or we can say the scalene triangle. Area of a Scalene Triangle. Area = (1/2) x b x h square units. Where, “b” refers to the base of the triangle “h” refers to the height of the triangle
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Area of a triangle = 1/2 × (Base (b) × Height (h)) where b and h are the base and height of the triangle respectively. Area of Triangle Using Heron's Formula. Heron's formula is applicable when all three sides of the triangle are known to us. Consider a triangle ABC with sides a, b, and c has shown in the image. Heron’s formula is:
The formula of the area of the scalene triangle is used to find the area occupied by the scalene triangle within its boundary. The area of the scalene triangle is obtained by taking half of the product of the base to the height of the triangle. Thus, the formula for the area of the scalene triangle, with a base "b" and height "h" is " (1/2) bh".
Formula to calculate the area of a scalene triangle: Detailed explanation. Practice Area of a Scalene Triangle. Question 1. Calculate the area of the following triangle: 4 4 4 5 5 5 A A A B B B C C C E E E. 10. 20. Question 2. Calculate the area of the following triangle: 6 6 6 7 7 7 A A A B B B C C C E E E. 21. 24. Question 3.
