CLASSIFYING TRIANGLES BY SIDES WORKSHEET

About "Classifying triangles by sides worksheet"

Classifying triangles by sides worksheet :

Worksheet given in this section is much useful to the students who would like to practice problems on classifying triangles by their sides. 

Classifying triangles by sides worksheet - Problems

Problem 1 :

Identify the type of triangle whose diagram is given below. 

Problem 2 :

Identify the type of triangle whose diagram is given below. 

Problem 3 :

Identify the type of triangle whose diagram is given below. 

Problem 4 :

Is it possible to have a triangle whose sides are 5 cm, 6 cm and 4 cm ? If so, identify the type of triangle. 

Problem 5 :

Is it possible to have a triangle whose sides are 7 cm, 2 cm and 4 cm ? If so, identify the type of triangle. 

Classifying triangles by sides worksheet - Solution

Problem 1 :

Identify the type of triangle whose diagram is given below. 

Solution :

In the triangle given above, two of the sides are congruent. So, it is isosceles triangle. 

Problem 2 :

Identify the type of triangle whose diagram is given below. 

Solution :

In the triangle given above, one of the angles right angle. So, it is right triangle.

Note : 

If one of the angles is right angle and two of the sides are congruent, it is right isosceles triangle. 

Problem 3 :

Identify the type of triangle whose diagram is given below. 

Solution :

In the triangle above, the lengths of all the three sides are same and all the three angles are congruent. 

So, the given triangle is equilateral triangle. 

Problem 4 :

Is it possible to have a triangle whose sides are 5 cm, 6 cm and 4 cm ? If so, identify the type of triangle. 

Solution : 

Verify the property

"The sum of the lengths of any two sides of a triangle is always greater than the third side",

for the given three sides. 

5 cm + 6 cm > 4 cm

6 cm + 4 cm > 5 cm

5 cm + 4 cm > 6 cm

Since the given sides meet the condition said in the property, it is possible to have a triangle whose sides are 5 cm, 6 cm and 4 cm.

All the three sides are different in length. So it is scalene triangle. 

Problem 5 :

Is it possible to have a triangle whose sides are 7 cm, 2 cm and 4 cm ? If so, identify the type of triangle. 

Solution : 

Verify the property

"The sum of the lengths of any two sides of a triangle is always greater than the third side",

for the given three sides. 

2 cm  + 4 cm  <  7 cm

Since the given sides do not meet the condition said in the property, it is not possible to have a triangle whose sides are 7 cm, 2 cm and 4 cm.

After having gone through the stuff given above, we hope that the students would have understood, "Classifying triangles by sides worksheet". 

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