Worksheet on Triangle

In the worksheet on triangle we will solve 12 different types of questions.

1. Take three non - collinear points L, M, N. Join LM, MN and NL. What figure do you get?

Name:

(a) The side opposite to ∠L.                    ..................................

(b) The angle opposite to side LN.          ..................................

(c) The vertex opposite to side MN.        ..................................

(d) The side opposite to angle N.           ..................................

2. Find the number of triangles in the figure given below:

Find the Number of Triangles

Answer:

There are 8 triangles (∆HAD; ∆BEF; ∆BHI; ∆AIJ; ∆CFH; ∆FGD; ∆GEJ; ∆ GAC)


3. Write the name of the vertices, sides and angle of the given triangle. Also give the name of the triangle in 3 different ways.

Triangle Vertices, Sides and Angles

4. Classify the triangle into acute triangle, obtuse triangle and right triangle with the following angles:

(a) 90°, 45°, 45°

(b) 60°, 60°, 60°

(c) 80°, 60°, 40°

(d) 130°, 40°, 10°

(e) 90°, 35°, 55°

(f) 92°, 38°, 50°


5. Identify the type of triangle based on the lengths of the sides.

Identify the Type of Triangle

Answer:

(i) Isosceles Triangle

(ii) Equilateral Triangle

(iii) Scalene Triangle


6. Classify the triangle according to sides, that is, equilateral, isosceles and scalene triangles

(a) 6 cm, 3 cm, 5 cm.

(b) 6 cm, 6 cm, 6 cm.

(c) 7 cm, 7 cm, 5 cm.

(d) 8 cm, 12 cm, 10 cm.

(e) 3 cm, 4 cm, 5 cm.

(f) 3.5 cm, 3.5 cm, 4.5 cm.



7. Is it possible to have a triangle with the following angles and sides? Give reason in support of your answer.

(a) 110°, 60°, 30°

(b) 70°, 70°, 70°

(c) 80°, 35°, 65°

(d) 7 cm, 3 cm, 4 cm.

(e) 50°, 50°, 90°

(f) 10 cm, 12 cm, 2 cm.


8. Find the perimeter of a triangle when its sides are:

(a) AB = 7.6 cm, BC = 4.5 cm, CA = 6.3 cm.

(b) PQ = 4.00, QR = 3 cm, RP = 5 cm.

(c) LM = 4.5 cm, MN = 3.6 cm, NL = 6.2 cm.


9. If in a triangle LMN:

(a) ∠L = 80°, ∠M = 50°, find ∠N,

(b) ∠M = 60°, ∠N = 60°, find ∠L,

(c) ∠M = 100°, ∠ N = 30°, find ∠ L,

(d) ∠N = 90°, ∠L = 45°, find ∠M.

Mention the kind of triangle also.


10. Draw any triangle and name it PQR. Measure its sides and classify the triangle as Isosceles triangle, scalene triangle or equilateral triangle.

11. The angle of a triangle is in the ratio of 2: 3: 4. Find the measure of each angle of the triangle.

12. One of the two equal angles of an isosceles triangle measures 55°. Determine the other angles.

13. The perimeter of a triangle is 24 cm. Two of its sides are 8 cm and 9 cm. Find the length of its third side.

14. Each side of a ∆ is one third of its perimeter. What kind of triangle is this?

15. One of the acute angles of a right triangle is 48°. Find the other acute angle.

16. Say whether the following statements are true or false:

(a) All the angles of an isosceles triangle are equal.

(b) If one angle of a triangle is obtuse, the other two angles must be acute.

(c) A right triangle can be equilateral.

(d) Equiangular triangle has its three sides also equal.

(e) A triangle can have two obtuse angles.


17. Fill in the blanks:

(i) A triangle is ……………………… sided polygon.

(ii) A triangle has ……………………… vertices and ……………………… sides.

(iii) A triangle can be classified on the basis of ……………………… and ……………………….

(iv) A triangle with all sides equal is called a ……………………… triangle.

(v) A triangle whose 2 sides are equal is called a ……………………… triangle.

(vi) A triangle with unequal sides is called a ……………………… triangle.


Answer:

(i) three

(ii) three, three

(iii) sides, angles

(iv) equilateral

(v)  isosceles

(vi) scalene

● Triangle.

Classification of Triangle.

Properties of Triangle.

Examples of Properties of Triangle

Worksheet on Triangle.

To Construct a Triangle whose Three Sides are given.

To Construct a Triangle when Two of its Sides and the included Angles are given.

To Construct a Triangle when Two of its Angles and the included Side are given.

To Construct a Right Triangle when its Hypotenuse and One Side are given.

Worksheet on Construction of Triangles.





5th Grade Geometry Page

5th Grade Math Problems

5th Grade Math Worksheets

From Worksheet on Triangle to HOME PAGE




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.

Share this page: What’s this?

Recent Articles

  1. Subtracting Integers | Subtraction of Integers |Fundamental Operations

    Jun 13, 24 02:51 AM

    Subtracting integers is the second operations on integers, among the four fundamental operations on integers. Change the sign of the integer to be subtracted and then add.

    Read More

  2. Properties of Subtracting Integers | Subtraction of Integers |Examples

    Jun 13, 24 02:28 AM

    The properties of subtracting integers are explained here along with the examples. 1. The difference (subtraction) of any two integers is always an integer. Examples: (a) (+7) – (+4) = 7 - 4 = 3

    Read More

  3. Math Only Math | Learn Math Step-by-Step | Worksheet | Videos | Games

    Jun 13, 24 12:11 AM

    Presenting math-only-math to kids, students and children. Mathematical ideas have been explained in the simplest possible way. Here you will have plenty of math help and lots of fun while learning.

    Read More

  4. Addition of Integers | Adding Integers on a Number Line | Examples

    Jun 12, 24 01:11 PM

    Addition of Integers
    We will learn addition of integers using number line. We know that counting forward means addition. When we add positive integers, we move to the right on the number line. For example to add +2 and +4…

    Read More

  5. Worksheet on Adding Integers | Integers Worksheets | Answers |Addition

    Jun 11, 24 07:15 PM

    Worksheet on Adding Integers
    Practice the questions given in the worksheet on adding integers. We know that the sum of any two integers is always an integer. I. Add the following integers:

    Read More