Triangles Worksheet for Class 6

# Triangles Worksheet for Class 6

Triangles Worksheet for Class 6 plays a major role in strengthening the maths concepts.

## Triangles Worksheet for Class 6 with Answers

Worksheet 1

1. Fill in the blanks:

a. A triangle in which exactly two sides are equal is called ___________ triangle.

b. In an acute-angled triangle, the number of acute angles is ___________.

c. The sum of the angles of a triangle is ___________.

d. The angles opposite to the equal sides of triangle are ___________.

2. Fill in the blanks for each of the following:

a. In a triangle, if one side is produced, the exterior angle so formed is equal to the sum of the two ___________ opposite angles.

b. A triangle with its sides as 6.5 cm, 5.8 cm and 6.5 cm is a/an ___________ triangle.

c. A triangle with two angles 75° and 65° has its third angle as ___________.

d. The sum of any two sides of a triangle is ___________ than the third side.

3. State true or false for each of the following:

a. The hypotenuse is the largest side of a right triangle.

b. The sum of the angles of a triangle equal to 360°.

c. If the sides of a triangle measures 6 cm, 8 cm and 10 cm, then it is a right-angled triangle.

d. The third angle of a triangle whose two angles measured 100° and 40° is 40°.

4. How many triangles are there in the figure?

5. Find the value of x and y in the following figures.

6. Draw a triangle and mark points in interior and exterior of the triangle.

Worksheet 2

1. If two angles of a triangle PQR are 60° and 45°, what is the measure of the third angle? What type of triangle is PQR?

2. Fill in the blanks in each of the following:

a. A triangle whose angles measure 35°, 55°, 90° is a/an ___________ triangle.

b. A triangle whose angles measure 60°, 60°, 60° is a/an ___________ triangle.

c. An ___________ angled triangle has all its angles measuring less than 90°.

d. If one angle of a triangle is obtuse then the other two are ___________.

3. Find the unknown marked angles in each of the following:

4. Find the unknown angles marked by letters:

5. Find the measurement of unknown angles:

6. In triangle ABC, AB = AC. AD bisecting BAC meets BC at D. If ABC = 72°. Find ACB and BAD.

7. In an isosceles triangle, each base angle is equal to 40°. What is the measure of the vertical angle?

8. Can the numbers given below be sides of a triangle?

a. 3, 5, 9

b. 7, 8, 6

9. Choose the correct answer for each of the following:

a. A scalene triangle has

i. all sides equal

ii. all sides unequal

iii. two sides equal

iv. all angles equal.

b. If one angle of a triangle is greater than 90°, then it is called an

i. obtuse-angled triangle

ii. acute-angled triangle

iii. right-angled triangle

iv. equilateral triangle

c. Sum of the angles of a triangle add up to

i. 90°

ii. 180°

iii. 270°

iv. 360°

d. If two angles of a triangle are 55° and 35°, then the third angle measures

i. 60°

ii. 90°

iii. 100°

iv. 80°

Worksheet 3

1. Choose the correct answer for each of the following:

a. If the vertex angle of an isosceles triangle equal to 80°, then each base angle is equal to

i. 50°

ii. 100°

iii. 60°

iv. 40°

b. If the angles of a triangle are x, 2x and 3x, then x is equal to

i. 90°

ii. 50°

iii. 30°

iv. 60°

c. The angles of a triangle are in the ratio 1 : 3 : 5, then the largest angle measures

i. 90°

ii. 20°

iii. 80°

iv. 100°

d. The angles of a triangle are x = y = z, then the triangle is an

i. isosceles triangle

ii. right-angled triangle

iii. equilateral triangle

iv. obtuse-angled triangle

2. State true or false:

a. An equilateral triangle has one obtuse angle.

b. If the base angles of an isosceles triangle equal to 66° each, then the vertical angle is 48°.

c. In a right-angled triangle, the other two angles are obtuse.

d. If the angles of a triangle are 5x, 4x and 3x, then the value of x is 15°.

3. Match the following with the correct given options:

a. 4x, 115°, 25° are the angles of a triangle therefore x is equal to    i. unequal

b. All angles of a scalene triangle are                                                ii. 10°

c. Angles opposite the equal sides of a triangle are                          iii. 60°

d. Each angle of an equilateral triangle is                                         iv. equal

e. Exterior angle corresponding to an acute angle of a triangle is    v. obtuse

4. Find the value of unknown angles.

5. In the given figure, there are three triangles. Find all the unknown angles.

6. Angles of a triangle are in the ratio 8 : 7 : 3. Find the angles.

7. AG and DH are two parallel lines. Show that triangles ABC and CDE are two isosceles tri­angles.

Worksheet 1

1. a. isosceles     b. three

c. 180°             d. equal

2. a. interior       b. isosceles

c. 40°               d. greater

3. a. True       b. False

c. True       d. True

4. 16 triangles

5. a. x = 70°, y = 60°

b. x = 45°, y = 80°

6. Do it yourself

Worksheet 2

1. 75°; Acute-angled triangle

2. a. right-angled

b. equilateral

c. acute

d. acute

3. a. x = 28°     b. x = 30°

4. i. a = 80°; r = 40°

ii. x = 28°

5. a. x = 100°, y = 30°

b. x = 50°

6. ACB = 72°; BAD = 18°

7. 100°

8. a. No       b. Yes

9. a. ii         b. i

c. ii         d. ii

Worksheet 3

1. a. i           b. iii

c. iv          d. iii

2. a. False     b. True

c. False     d. True

3. a. ii           b. i

c. iv          d. iii

e. v

4. a. 48°, 60°, 72°

b. x = 70°, y = 40°, z = 40°

5. ACB = DCE = 43°

DEC = FEG = 57°

EFG = 53°

6. 80°, 70°, 30°

7. ABC = ACB = 70°

CDE = DCE = 70°

Therefore, ABC and CDE are two isosceles tri­angles.

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