 # Worksheet on Triangle | Types of Triangles Worksheet with Answers

Triangle worksheets are a great resource for children in 5th grade. A triangle is a polygon with three edges, three vertices, and three angles. This is one of the basic shapes in geometry. Practice the questions given in the worksheet on triangle to score good marks in the exams. Know more about the triangle with the help of Triangle class 5 worksheets. The students of 5th grade math may learn about types of triangles with the help of the worksheet with answers.

Do Refer:

### Worksheet on Triangle and its Properties

Example 1.
A triangle can be classified on the basis of ____

Solution:

The triangles are classified into two ways. They are as follows
The triangle can be classified based on the sides
The triangle can be classified based on the angles.

Example 2.
A triangle with all sides equal is called which triangle?

Solution:

The triangle with all three sides are equal is called an equilateral triangle.

Example 3.
A triangle whose 2 sides are equal is called which triangle?

Solution:

The triangle with 2 sides are equal is called the isosceles triangle.

Example 4.
In the right angle, one angle is 40 degrees find its third angle?

Solution:

∆ PQR is a right angle triangle, that is one angle is a right angle.
Given that,
∆ PQR = 90 degrees
∆ PQR = 40 degrees
Therefore ∆PQR = 180 degrees – (triangle Q + triangle P )
180 degrees – (90 degrees + 40 degrees)
180 degrees – 130 degrees
Triangle R = 50 degrees.

Example 5.
The two sides of a given triangle are 1 unit and 2 units its semi parameter is 3units what is its area?

Solution:

The two sides of a given triangle are
a= 1; b = 2
It’s semi parameter is ,S = 3
We know that,
2s = a + b + c
2(3) = 1 + 2 + c
6 = 3c
C = 2
Thus the third side is 2 units.

Example 6.
If a : b : c is 1 : 2 : 3 and S = 6 find the area of the triangle ?

Solution:

Here a : b : c = 1 : 2 : 3
Let us assume a = 1x , b = 2x, c= 3x
Therefore a + b + c = 1x + 2x + 3x = 6x
a + b + c = 2s
2s = 6x
2(6) = 6x
X = 2
Therefore the length of three sides are 1× 2 = 2 inches, 2 × 2 = 4 inches and 3 × 2= 6 inches
The area of the triangle ∆ ABC is
√ (s (s – a)(s – a)(s – a))
√ 6(6- 2)(6- 4)( 6- 6))
√48 inches.

Example 7.
The angles of a triangle are 20 degrees, 40 degrees, and 60 degrees. Is it is possible to construct a triangle?

Solution:

Sum of the angles of a triangle = 180 degrees
The length of the given angle = 20 + 40 + 60 = 120 degrees.
The length of the given angles is less than the sum of the angles.
So, it is possible to construct a triangle.

Example 8.
Measures of two angles of a triangle are 80 degrees and 30 degrees find the measure of its third angle?

Solution:

The measures of two angles of a triangle are 80 degrees and 30 degrees.
The sum of the measures of two angles = 80 degrees + 30 degrees
Sum of all these angles of a triangle = 180 degrees.
Therefore, measure of the third angle = 180 degrees – 110 degrees = 70degrees

Example 9.
The lengths of sides are 4cm, 4cm, and 6cm and that is the triangle?

Solution:

The length of the sides is 4cm, 4cm, and 6cm.
Here the two sides of the triangle are equal and one side is different.
So it is an isosceles triangle.

Example 10.
The lengths of sides are 23cm, 23cm, and 23cm and that is the triangle?

Solution:

The length of the sides is 23cm, 23cm, and 23cm.
Here all the sides of the triangle are equal.
So it is an equilateral triangle.

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