In Geometry, An isosceles triangle is a polygon having three sides. it has a pair of equal and the remaining one of unequal
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the word isosceles is derived from the Greek terms “isos” (equal) and “Skelos” (leg). it is a polygon which is a two-dimensional geometric figure made with the union of different points (not on the same line) these points are joined by line segments.
hence, the isosceles Triangle is said to be a closed shape or space. the word “isosceles” can also be used for other geometric figures like a trapezoid. in this case, a trapezoid having two equal sides is known as an isosceles trapezoid.
they are as follows:
there are three basic types:
the base (b) and corresponding height (h) of the triangle helps to find the area of the Isosceles triangle.
the perimeter can be calculated by adding up three sides of the triangle. we use Heron’s formula to calculate a semi-perimeter, s = P / 2. where s is the perimeter. suppose that two sides of a triangle are equal in length, then, we double the perimeter of side (a) and add with uneven side ( b ).
if the value of these repeating sides (say a) and angle formed between them is known, we can find the other unknown side (say b) by using the cosine theorem.
this theorem states that if two sides of a triangle are congruent, then the angles opposite those sides are congruent.
Proof:
Let’s say that S is the midpoint of R and S.
Since S is the midpoint of PQ,
For the Reflective Property,
It is given that
Therefore, by LLL, Since the corresponding parts of congruent triangles are congruent.
What are the rules of an isosceles triangle?
Ans: followings are the properties and rules for the isosceles:
Do isosceles triangles add up to 180?
Ans: A triangle always consists of three sides. two equal lengths sides that are opposite to each other and are called the legs of the triangle while the third side is known as the base. the angle between equal sides is said to be the vertex angle. it is necessary that when adding up all three sides should have resulted in 180º.
What is the formula of isosceles?
Ans: the formula of isosceles is called the area of a triangle which can be found by using its three sides. we suppose that two adjacent equal sides are named as a and b respectively, while the third side c is base. so,
Area = 2.a +b
Which angles are equal in an isosceles triangle?
An: the two equal sides and two equal angles are always equal to each other respectively.
What are the 4 types of triangles?
Ans: we have 6 different kinds of triangles equilateral triangles, right triangles, scalene triangles, obtuse triangles, acute triangles, and isosceles triangles.
What two features make an isosceles triangle?
Ans: two equal sides and two angles equal to each other respectively make an isosceles triangle.
How do you prove a triangle is an isosceles triangle?
Ans: if two sides are equal to each other and make an acute angle, then the triangle will be an isosceles triangle.
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