BUDS PUBLIC SCHOOL
WORKSHEET 1*
MATHEMATICS
GRADE 7
TRIANGLE AND ITS PROPERTIES
1. The line segment joining a vertex of a triangle to the midpoint of its opposite side is called a …….. of a triangle.
A) Altitude
B) Median
2. The perpendicular line segment from a vertex of a triangle to its opposite side is called an ………. of the triangle.
A) Altitude
B) Median
3. The sum of all angles of a triangle is ……
A) 1800
B) 800
C) 1000
D) 500
4. In an equilateral triangle, each angle has measure …….
A) 300
B)600
C) 900
D) 1800
5. The base angles of an isosceles triangle are …….in measure
A) Equal
B) Not equal
6. The sum of lengths of any two sides of a triangle is ………than the length of third side.
A) Smaller
B) Greater
7. In a right angled triangle, the side opposite to the right angle is called the ………
A) Legs
B) hypotenuse
C) base
D) altitude
8. State which of the following are triangles.
a) <A = 600 < B = 600 < 𝐶 = 600
b) < 𝑃 = 800 < Q = 700 < 𝑅 = 700
c) < 𝑋 = 600 < Y = 400 < 𝑍 = 400
9. State Pythagoras theorem.
E
10. Write the Exterior angle property and write the exterior angles from the figure
A
B
11. Calculate the magnitude of the angles as required.
In triangle ABC
a) < B = 600 , < C = 700 find < 𝐴
b) < B = 900 , < C = 300 find < 𝐴 ?
12) State whether the following are the sides of a triangle or not:
i) 6 cm, 7 cm, 8 cm
ii) 3 cm, 4 cm, 10 cm
iii) 5 cm, 7 cm, 9 cm
iv) 3 cm, 4 cm,9 cm
13) The legs of a right triangle are 9 cm and 12 cm. Find the length of the hypotenuse?
C
BUDS PUBLIC SCHOOL
WORKSHEET 2**
MATHEMATICS
GRADE 7
TRIANGLE AND ITS PROPERTIES
1. In the figure given here, the three sides of the triangle ABC are produced in order to generate three exterior
angles. Complete the following statements.
a) < ACD = < B +
^E
b) <EAB=
+
C) <FBC =
+
A
B
C
D
F
2. Calculate the magnitude of the angles as required
A < A = 700 , <ACD =1400 find< 𝐵?
1)
B
C
(2) A
D
D
B
< C A D = 700 , < 𝐵 = 600 find < 𝐴?
C
3. State which of the following are triangles.
a) AB = 7 cm, BC = 8 cm, AC =7 cm b) AB = 20 cm, BC = 10 cm, AC = 5 cm c) PQ = 6 cm, QR =7cm,PR =20 cm
d) XY = 50 cm, YZ = 25 cm, XZ = 25 cm e) DE = 25 cm, EF = 20 cm, DF = 15 cm f) <R=1000, <Q=300, <P=700
4. Find the length of the hypotenuse of the following right angled triangles.
ABC, AB = 6 cm, BC = 8 cm, < 𝐵= 900. b)
a)
XYZ, < 𝑌 = 900 , YZ = 4 cm, XZ = 3 cm.
5.If each of the two equal angles of a triangle is twice the third angle, find the angles of the triangle.
6. Find the unknown sides x of the following right angled triangles.
A
P
24
25
B
85
C
X
X
x
Q
12
R
84
7. Find the values of a and b in the following figures
E
x
Y
x
Z
9
41
G
F
40
BUDS PUBLIC SCHOOL
WORKSHEET 3***
MATHEMATICS
GRADE 7
TRIANGLE AND ITS PROPERTIES
1. The following triplets form the length in cm of the sides of a triangle. State which of them can form right angled
triangles.
a) 12,16,20
b) 7,8,9
c) 15,28,14
d) 5,12,13
e)16,63,65
f) 9,10,12
2. A firefighter’s ladder of length 13 m was kept at a distance of 5 m from a building to reach a window on the
building. At what height is the window from the ground?
3. A ladder 17 m long reaches a window of a building 15 m above the ground. Find the distance of the foot of the
ladder from the building.
4. The square of the hypotenuse of a right isosceles triangle is 200 units. Find the length of each side.
5. Two electric poles 30 m and 15 m high stand on the ground. Their feet are 36 m apart. Find the distance
between their tops.
6. A man goes 10 m due south and then 24 m due east. Find the distance from the starting point.
7. The angles of a triangle are in the ratio of 1:3:5. Find all the angles
8. The sides of some triangles are given below. Determine which of them right triangles are:
1) a = 8 cm b = 15 cm c = 17 cm
(2) a = 5 cm
b = 11 cm c = 13 cm
(3) a = 9 cm b = 40 cm c = 41 cm
9. The length and breadth of a room are 3 m and 4 m. What is the length of the largest metallic rod that can be
placed on the floor?
10. The roof of a building is 8 m high. A rope is tied from the roof to a peg on the ground 6 m away from the wall.
What is the minimum length of the rope?
11. Ashok fixed a triangular tent of height 3 m. He tied the ends of the tents to two pegs fixed on the ground at 8 m
apart. What is the length of the tent from peg1 to peg2?
peg1
peg2
12. The sides of a rectangle are 12 m and 5 m. What is the length of the diagonal?