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:
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.
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.
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
Examples of Properties of 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.
Recent Articles
-
Fundamental Geometrical Concepts | Point | Line | Properties of Lines
Apr 18, 24 02:58 AM
The fundamental geometrical concepts depend on three basic concepts — point, line and plane. The terms cannot be precisely defined. However, the meanings of these terms are explained through examples. -
What is a Polygon? | Simple Closed Curve | Triangle | Quadrilateral
Apr 18, 24 02:15 AM
What is a polygon? A simple closed curve made of three or more line-segments is called a polygon. A polygon has at least three line-segments. -
Simple Closed Curves | Types of Closed Curves | Collection of Curves
Apr 18, 24 01:36 AM
In simple closed curves the shapes are closed by line-segments or by a curved line. Triangle, quadrilateral, circle, etc., are examples of closed curves. -
Tangrams Math | Traditional Chinese Geometrical Puzzle | Triangles
Apr 18, 24 12:31 AM
Tangram is a traditional Chinese geometrical puzzle with 7 pieces (1 parallelogram, 1 square and 5 triangles) that can be arranged to match any particular design. In the given figure, it consists of o… -
Time Duration |How to Calculate the Time Duration (in Hours & Minutes)
Apr 17, 24 01:32 PM
We will learn how to calculate the time duration in minutes and in hours. Time Duration (in minutes) Ron and Clara play badminton every evening. Yesterday, their game started at 5 : 15 p.m.