Being aware of the shape of triangles is very important for the students so that they can have a good command of the subject of mathematics. The area of Isosceles triangle will be the amount of region that will be enclosed by it into a two-dimensional space. The very general formula of the area of a triangle is the half into the product of base into the height of the triangle. So, it is very much important for people to have proper access to a detailed explanation of the whole process along with formula and derivation so that they can solve the questions perfectly and efficiently.
The total area covered by the Isosceles triangle will be known as the area of the Isosceles triangle. For the Isosceles triangle, the area can be easily calculated if the height at the base is well known to the students. Multiplication of the height with the base and divide it by two will result in the area of the Isosceles triangle. But for this purpose, the students also need to be aware of the concept of the Isosceles triangle which means the triangle which has at least two sides of equal length. This particular property is equal to the two angles of the triangle be equal as well.
The name derives from the Greek terms which means same and leg. The equilateral triangle will be a very special case of the isosceles triangle where all three sides and all three angles of the triangle will be equal. The Isosceles triangle will be having two equal sidelines and two equal angles as well and the corners at which the sides will need to be symmetrical in shape. If the perpendicular line has to be drawn from the point of intersection of two equal sides to the base of the unequal side then to right angle triangle will be generated.
The formula of the area of the Isosceles triangle has been explained as follows:
The area is equal to 1÷2 into base into height
The formula for the perimeter is 2a + b.
There will be a special case in which the people can even calculate the area if only the sides of the Isosceles triangle are known to the people. If the length of the equal side and length of the base of the Isosceles triangle is known then the height or altitude can be calculated with the help of the following formula which will be the square root of A square minus B square upon four. In this case, we will be the base, it will be the height and a will be the length of equal size.
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The derivation of this particular formula can also be undertaken through the heron’s formula which can be stated as follows:
Under root of s(s-a) (s-b) (s-c)
For learning the formula it is very much important for the students to be clear about every associated aspect and component of the whole formula so that there is no confusion at the later stage. Apart from this the students also need to be aware of the properties of the Isosceles triangle and some of the most important properties are mentioned as follows:
- The unequal side will be normally referred to as the base in the case of the Isosceles triangle.
- The base angles of the Isosceles triangle will always be equal
- If the third angle is the right angle then it will be referred to as the right Isosceles triangle.
- The altitude of the triangle will be the perpendicular distance from the base to the topmost of the triangle.
To effectively calculate the area of the Isosceles triangle it is very much important for the students to identify and recognise the base of the triangle and then they have to draw the line between the base to the opposite vertex. This will be referred to as the height of the triangle and then the individual’s can implement the right kind of formula associated with the Isosceles triangle and its area. Hence, depending upon the experts from the house of Cuemath is very much important so that students can become masters of the subjects of the Isosceles triangle and several other kinds of triangles.