CLASSIFYING TRIANGLES WORKSHEET

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How to Classify Triangles Based on Side Measures

How to Classify Triangles Based on Angles Measures

Problem 1 :

A triangle cannot have unequal side measures.

A)  True     B)  False

Solution :

This is a false statement.

Because all three sides of the scalene triangle are unequal.

Problem 2 :

Name the triangle by observing its side lengths.

Solution :

By observing the figure,

AB = BC = AC = 5 cm

Since all the sides are equal in length, it is an Equilateral Triangle.

Problem 3 :

Identify the triangle based on indicated sides.

Solution :

By observing the figure,

AC and BC are congruent. It is represented by a single hash mark on each side.

So, it is an Isosceles Triangle.

Problem 4 :

Name the following triangles based on their sides and angles.

a)

Solution :

By observing the figure, <A = 90˚

Since one of the angles is 90˚, it is a Right Angle Triangle.

b)

Solution :

By observing the figure,

AB = BC = AC = 18 yd

Since all the sides are equal in length, it is an Equilateral Triangle.

c)

Solution :

By observing the figure, <A = 130˚

Since <A is greater than 130˚, it is an Obtuse Angle Triangle.

Problem 5 :

Identify the triangle based on the angles.

Solution :

By observing the figure, <B = 90˚

Since one of the angles is 90˚, it is a Right Angle Triangle.

Problem 6 :

Name the triangle by looking into its side measures.

Solution :

By observing the figure,

AB = 9 ft, BC = 4 ft, and, AC = 6 ft

Since all the sides are different in length, it is an Scalene Triangle.

Problem 7 :

A triangle having two sides of equal measures is known as _----------- triangle.

Solution :

A triangle having two sides of equal measures is known as Isosceles triangle.

Problem 8 :

The given triangle is :

A)  Acute Triangle   B)  Obtuse Triangle  C) Right Triangle

Solution :

By observing the figure,

Since one of the angles is greater than 90˚, it is an Obtuse Angle Triangle.

Problem 9 :

What is an Obtuse Angled Triangle ?

Solution :

If one of the angles is greater than 90˚, then the triangle is classified as an Obtuse Angle Triangle.

Problem 10 :

A triangle having all angles lesser than 90 degree is known as Right Angled Triangle.

A)  Yes     B)  No

Solution :

No, It is a false Statement.

If all the angles of the triangle are all less than  90˚, then the triangle is classified as an Acute Angle Triangle.