EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Triangles
Grade : CBSE Grade X
License : Non Commercial Use
Question
1
1.
Which of the following are measures of an isosceles right angled triangle ?
(i)
OP = 15 cm , PQ = 14 cm , QO = 12 cm
(ii)
OP = 11 cm , PQ = 11 cm , QO = 15.56 cm
(iii)
OP = 12 cm , PQ = 13 cm , QO = 10 cm
(iv)
OP = 14 cm , PQ = 14 cm , QO = 14 cm
(v)
OP = 14 cm , PQ = 22 cm , QO = 10 cm
Question
2
2.
ABCD is a cyclic trapezium. Diagonals BD and AC intersect at E. If DA = 18 cm, find BC
(i)
20 cm
(ii)
17 cm
(iii)
16 cm
(iv)
18 cm
(v)
19 cm
Question
3
3.
In the given figure, TU ∥ DE , and median CF bisects TU.
If CD = 19 cm, CF = 19.1 cm and CG = 9.55 cm, CT =
(i)
11.50 cm
(ii)
10.50 cm
(iii)
7.50 cm
(iv)
8.50 cm
(v)
9.50 cm
Question
4
4.
In the given two similar triangles, if d = 16 cm, e = 18 cm, f = 16 cm, g = 9.6 cm, find h
(i)
10.80 cm
(ii)
12.80 cm
(iii)
11.80 cm
(iv)
8.80 cm
(v)
9.80 cm
Question
5
5.
Identify the property by which the two given triangles are similar
(i)
AAA Similarity
(ii)
SAS Similarity
(iii)
not similar
(iv)
SSS Similarity
Question
6
6.
In the given figure, the parallelogram IJKL and the triangle △MIJ are on the same bases and between the same parallels.
The area of the
△MIJ
is x sq.cm. The area of the parallelogram is
(i)
3
2
the area of the triangle
(ii)
4
3
the area of the triangle
(iii)
twice
the area of the triangle
(iv)
5
4
the area of the triangle
(v)
thrice
the area of the triangle
Question
7
7.
Which of the following are true?
a)
Any two quadrilaterals are similar if the corresponding sides are proportional.
b)
Any two quadrilaterals are similar if the corresponding angles are equal.
c)
Any two triangles are similar if the corresponding sides are proportional.
d)
Any two triangles are similar if the corresponding angles are equal.
(i)
{b,a,c}
(ii)
{a,c,d}
(iii)
{b,d}
(iv)
{b,a}
(v)
{b,c}
Question
8
8.
Which of the following are measures of an isosceles right angled triangle ?
(i)
GH = 14 cm , HI = 20 cm , IG = 12 cm
(ii)
GH = 11 cm , HI = 11 cm , IG = 11 cm
(iii)
GH = 11 cm , HI = 13 cm , IG = 15 cm
(iv)
GH = 11 cm , HI = 14 cm , IG = 14 cm
(v)
GH = 13 cm , HI = 13 cm , IG = 18.38 cm
Question
9
9.
The ratio of the bases of two triangles ABC and DEF is
8
:
9
.
If the triangles are equal in area, then the ratio of their heights is
(i)
9
:
9
(ii)
8
:
11
(iii)
9
:
8
(iv)
8
:
6
(v)
7
:
9
Question
10
10.
In the given figure, △DEF is a triangle in which DE = DF and G is a point on EF. Then
(i)
DE
2
−
DG
2
=
EG
.
FG
(ii)
DE
2
−
DG
2
=
DG
.
FG
(iii)
DE
2
+
DG
2
=
EG
.
FG
(iv)
DE
2
+
DG
2
=
EF
2
(v)
DE
2
−
DG
2
=
DG
.
EG
Question
11
11.
In the given figure,
QR
∥
OP
.
If
NQ
QO
=
1
1
and
NP
=
13.3 cm
, find
NR
(i)
5.65 cm
(ii)
8.65 cm
(iii)
4.65 cm
(iv)
6.65 cm
(v)
7.65 cm
Question
12
12.
In the given figure, △DEF is a triangle in which DG is the internal bisector of ∠D and FH ∥ GD meeting ED produced at H . ∠FDG =
(i)
∠DGF
(ii)
∠EGD
(iii)
∠GFD
(iv)
∠DFH
(v)
∠HDF
Question
13
13.
In the given figure, the altitudes QE and FR of △DEF meet at P. △REF ∼
(i)
△PEF
(ii)
△QFP
(iii)
△QFE
(iv)
△REP
(v)
△PRQ
Question
14
14.
If the measures are as shown in the given figure, find DE
(i)
19.0 cm
(ii)
20.0 cm
(iii)
21.0 cm
(iv)
23.0 cm
(v)
22.0 cm
Question
15
15.
In the given figure, the altitudes RI and JS of △HIJ meet at Q. ∠IQS =
(i)
∠RQJ
(ii)
∠JRQ
(iii)
∠QSI
(iv)
∠SIQ
(v)
∠QJR
Question
16
16.
In the given figure
△FGH
,
I
is the mid-point of
FG
and
IJ
∥
GH
,
then
FI
=
(i)
IG
(ii)
JH
(iii)
FJ
(iv)
HF
(v)
FG
Question
17
17.
Which of the following are measures of a right angled triangle ?
(i)
AB = 10 cm , BC = 14 cm , CA = 13 cm
(ii)
AB = 12 cm , BC = 23 cm , CA = 13 cm
(iii)
AB = 13 cm , BC = 10 cm , CA = 16.4 cm
(iv)
AB = 11 cm , BC = 13 cm , CA = 10 cm
(v)
AB = 15 cm , BC = 15 cm , CA = 15 cm
Question
18
18.
In the given figure, △ABC is right-angled at B. Also, BD ⟂ AC. Which of the following are true?
a)
BC
2
=
AC
.
AD
b)
AB
2
=
AC
.
AD
c)
AB
2
=
CA
.
CD
d)
BC
2
=
CA
.
CD
e)
BD
2
=
AD
.
DC
(i)
{b,d,e}
(ii)
{a,b}
(iii)
{a,b,d}
(iv)
{c,d}
(v)
{a,c,e}
Question
19
19.
In the given figure, PQ ∥ GH and FQ = 13.2 cm, FH = 22 cm and PQ = 15 cm, find GH
(i)
27.0 cm
(ii)
24.0 cm
(iii)
26.0 cm
(iv)
23.0 cm
(v)
25.0 cm
Question
20
20.
In the given figure, △GHI and △RST are such that
∠H
=
∠S
and
∠I
=
∠T
.
Identify the property by which the two triangles are similar
(i)
not similar
(ii)
SSS Similarity
(iii)
AAA Similarity
(iv)
SAS Similarity
Question
21
21.
In the given figure
△HIJ
,
K
is the mid-point of
HI
and
KL
∥
IJ
,
then
HK
=
(i)
IJ
(ii)
IJ
2
(iii)
HL
(iv)
HI
2
(v)
JH
2
Question
22
22.
In the given figure, △ABC is right-angled at B. Also, BD ⟂ AC. If DC = 11.1 cm, BD = 12.99 cm, then find AD.
(i)
15.20 cm
(ii)
13.20 cm
(iii)
14.20 cm
(iv)
17.20 cm
(v)
16.20 cm
Question
23
23.
Identify the property by which the two given triangles are similar
(i)
SSS Similarity
(ii)
AAA Similarity
(iii)
SAS Similarity
(iv)
not similar
Question
24
24.
In the given figure
△EFG
,
H
is the mid-point of
EF
and
HI
∥
FG
,
then
HF
=
(i)
EI
(ii)
EF
(iii)
GE
(iv)
EH
(v)
IG
Question
25
25.
From the given figure and values, find x
(i)
(
46
,
46
)
(ii)
(
44
,
43
)
(iii)
(
47
,
44
)
(iv)
(
45
,
45
)
(v)
(
44
,
44
)
Assignment Key
1) (ii)
2) (iv)
3) (v)
4) (i)
5) (i)
6) (iii)
7) (ii)
8) (v)
9) (iii)
10) (i)
11) (iv)
12) (iv)
13) (iii)
14) (iii)
15) (i)
16) (i)
17) (iii)
18) (i)
19) (v)
20) (iii)
21) (iv)
22) (i)
23) (i)
24) (iv)
25) (v)
