**Triangles Worksheet for Class 6**

**Triangles Worksheet for Class 6** plays a vital role in strengthening the maths
concepts. After studying the concepts of mathematics, revision of **Triangles Worksheet for Class 6** is very important for the students. This
assesses the preparation of the students. Students can assess themselves by its
own by solving the **Triangles Worksheet for Class 6**. Parents and teachers can also assess
the students by giving them these **Triangles Worksheet for Class 6** to solve.

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**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*, 2*x *and 3*x*, 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 5*x*, 4*x *and 3*x*, then the
value of *x *is 15°.

**3.
**Match the following with the correct given
options:

a.
4*x*, 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.

**ANSWERS**

**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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