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.
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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