**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.

**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.

**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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