Isosceles and scalene triangles are a type of triangle. They can be classified based on their angles, properties, and formulas for their area. In this article, we will discuss what these triangles are and how to calculate their formulas.
Any triangle with two equal and similar sides is called an isosceles triangle. In addition, the two angles on the opposite sides of the two equal sides are also equal. To put it another way, “an isosceles triangle is a triangle with two congruent sides.” If the sides AB and AC of a triangle ABC are equal, then ABC is an isosceles triangle with B = C. The isosceles triangle is defined and expressed by the theorem that if the two sides of a triangle are congruent, then the angle opposite them is also congruent.
The region occupied by an isosceles triangle in two-dimensional space is known as its area. In general, the base and height of an isosceles triangle are half the product of the base and height. The region of an isosceles triangle can be calculated using the following formula: A = 12 b h Square units are the area of isosceles triangle, where b is the triangle’s base while h is its triangle’s height.
Commonly, the isosceles triangle is classified into three different kinds namely:
A scalene triangle is one in which each of the three sides has a different length and each of the three angles has a different measurement. The number of all interior angles, on the other hand, is always 180 degrees. As a result, it satisfies the triangle’s angle sum property condition.
According to the sides and the interior angles of a triangle, there are three various types of triangles. Due to the interior angles of the triangle, they can be divided into three types, namely:
Some of the vital properties of the scalene triangle are as stated:
The formula for finding the area of scalene triangle is given below:
Area of a scalene triangle = (1/2) x b x h square units
Where,
“b” symbolizes the base of the triangle
“h” symbolizes the height of the triangle
If the sides of any of the given triangles are provided, then one can apply Heron’s formula.
Area of the triangle = A=√s(s−a)(s−b)(s−c) square units
Where,
“s” symbolizes the semi perimeter of a triangle, which can be obtained by using the formula
s = (a+b+c)/2
Here, a, b, and c expresses the sides of the triangle.
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