Question

the sides of triangle can be 6cm, 7cm and 20 cm (T/F)​

Answer 1

your answer is false because it is not possible

Answer 2

Given :

• First Side of Triangle = 6cm
• Second Side of Triangle = 7cm
• Third Side of Triangle = 20cm

To Find :

• It can form a triangle or not.

Answer :

False

Explanation :

• First let's recall what a triangle is ? A Triangle is a polygon bounded by three line segment. It has A triangle has four vertices, three edge, three sides and three angles.
• Now According to the Triangle Inequality Theorem , for any given triangle the sum of two sides of the Triangle is greater then the third side of the third. Only then we can say that it is a triangle.
• Basically, Triangle Inequality Theorem describes a relationship between the sides of the Triangle or in other words this theorem specifies that the shortest distance between two distinct points is always a straight line.

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Elaboration :

• In this question, sides of the Triangle are 6cm, 7cm, 20cm so we will check that it can form a triangle or not by using Triangle Inequality Theorem.
• Sum of First two sides should be greater than the third side . 6 + 7 = 13 cm . So in the first step only we get to know that the sum of the first two sides is less than the third side.
• Now we can conclude that, the given sides don't satisfy the Triangle Inequality Theorem , so it can not form a triangle.

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