Question

The given set of length 2cm, 4cm, 7cm are the sides of–––––– triangle

Answer 1

Answer:

Step-by-step explanation:

2 + 4 < 7

There is no triangle with the given set of length.

Answer 2

Given : The given set of length 2cm, 4cm, 7cm are the sides of–––––– triangle

To Find :  Type of Triangle

Solution:

 

Triangles classification  :  

Equilateral Triangle : All sides and all angles are   equal

Isosceles Triangle : Two sides and two angles are  equal

Scalene Triangle : All sides and all angles are   different  

Acute angled  Triangle  : All angles less than 90°

Obtuse angled  Triangle  : One angle is greater than 90°

Right angled triangle : One angle is 90°  

Isosceles Right angled triangle : Two sides are equal and one angle is 90°  

at first it looks like

its a Scalene Triangle : All sides are  of different  length.

Lets check also whether its a triangle or not

In a triangle

Sum of any two sides is always greater than 3rd side

4 + 7 > 2

2 + 7 > 4

but 2 + 4 < 7

Hence these sides length can not form a triangle

Hence No such triangle Exist.

The given set of length 2cm, 4cm, 7cm are the sides of–NOT A–– triangle

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