Your Worksheet is Ready
CBSE Class 10 Mathematics Worksheet
UNIT IV: Geometry - Triangles
A 5 m long ladder is placed leaning towards a vertical wall such that it reaches the wall at a point 4 m high. If the foot of the ladder is moved 1.6 m towards the wall, then the distance by which the top of the ladder would slide upwards on the wall is:
2 m
B)1.2 m
C)0.8 m
D)0.5 m
The lengths of the diagonals of a rhombus are 16 cm and 12cm. Then, thelength of the side of the rhombus is
9
B)10
C)8
D)20
In triangle ABC, if DE∥ BC, AD = 3cm, BD = 4cm and BC= 14 cm, then DE equals
7 cm
B)6 cm
C)4 cm
D)3 cm
In the given figure . If AD = x, DB = x -2, AE = x + 2, EC = x – 1, find the value of x?
2
B)4
C)6
D)8
ABC and DBC are two triangles on the same base BC. If AD intersects BC at O. Then ar(ABC) / ar (DBC)?
AO/CO
B)AO/DO
C)AD/BD
D)None of these
Corresponding sides of two similar triangles are in the ratio of 2 : 3. If the area of the smaller triangle is 48 cm2, then the area of the larger triangle is:
108 m2
B)107 m2
C)106 m2
D)230 m2
In the given figure such that PQ = 2 cm and YZ = 4 cm. The ratio of ar(XPQ) and ar(PQZY) is
1:2
B)1:3
C)1:4
D)1:8
In triangle PQR, if PQ = 6 cm, PR = 8 cm, QS = 3 cm, and PS is the bisector of angle QPR, what is the length of SR?
2
B)4
C)6
D)8
In the given figure, if A = C, BP = 21 cm, AP = 15 cm and CP = 5 cm, then find the length of PD?
14 cm
B)6 cm
C)7 cm
D)10 cm
It is possible to draw an equilateral right triangle with all three legs equal
Triangles have four sides.
If , then find the value of x?
2
B)10
C)5
D)4
In the given figure find .
If ΔABC ~ ΔDEF, AB = 4 cm, DE = 6 cm, EF = 9 cm and FD = 12 cm, find the perimeter of ABC.
18 cm
B)20 cm
C)21 cm
D)22 cm
The two sides of a triangle are 6cm and 10cm. What is the maximum possible area of this triangle?
24 cm^2
B)48 cm^2
C)60 cm^2
D)30 cm^2
If in two As ABC and DEF, AB/DF=BC/FE=CA/ED, then
?ABC ~ ?DEF
B)?ABC ~ ?EDF
C)?ABC ~ ?EFD
D)?ABC ~ ?DFE
CBSE Class 10 Mathematics Worksheet
UNIT IV: Geometry - Triangles
Answers
Solution:
Equilateral triangles form always 60 degree angle and can never sustain a right angle within, hence it is false.
Solution:
Solution:
Area of a triangle is given by,
Δ = ½*a*b*sin (C).
Here, a = 6cm and b = 10cm , and Sin(C) will be maximum at C = 90° , thus we have the maximum area Δ = ½*6*10*1 = 30cm^2 .
