if you are really great in mathematics tell me if this the figure given is a triangle or not tell the reason if it is not a triangle
THE ONE WHO IS A MATHEMATICIAN COULD TELL ME
Answers
AnswEr :
• Let's talk about Triangle :
Triangle is that 2 Dimensional Shape which got 3 Angles, and So 3 Sides too.
We all know that Sum of All Three Angles of triangle is 180°. So that Can be Called a Triangle.
But In this Picture, we are talking about Sides. So Basic Concept Regarding Sides of a Triangle is that :
- Sum of two Sides of Triangle should must be Greater than the Third Side.
According to the Concept, A Triangle will always fulfill this Criterion :
Let's Assume a Triangle ABC, where AB, BC and CA are Sides of Triangle.
⇒ AB + BC > CA
⇒ BC + CA > AB
⇒ CA + AB > BC
If 3 Sided Shape will fulfill this, then it will a Triangle for Sure.
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• Let's Head to the Question Now :
- A 3 Sided Shape ABC.
- AB = 1
- BC = 3
- CA = 1
• ACCORDING TO CONCEPT :
⇒ AB + BC > CA = 1 + 3 > 1 = 4 > 1
⇒ BC + CA > AB = 3 + 1 > 1 = 4 > 1
⇒ CA + AB > BC = 1 + 1 > 3 = 2 < 3
So we seen that, in last step (Sum of Two Sides is Smaller than the third Side)
∴ Therefore, ABC is not a Triangle.
#answerwithquality #BAL