EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Triangles
Grade : CBSE Grade X
License : Non Commercial Use
Question
1
1.
In a right angled triangle, if the two non-hypotenuse sides are 16 cm and 63 cm, find the hypotenuse
(i)
66.00 cm
(ii)
63.00 cm
(iii)
67.00 cm
(iv)
65.00 cm
(v)
64.00 cm
Question
2
2.
In the given figure
△EFG
,
H
is the mid-point of
EF
and
HI
∥
FG
,
then
HF
=
(i)
GE
(ii)
EH
(iii)
IG
(iv)
EF
(v)
EI
Question
3
3.
In the given figure, in △BCD, 'O' is a point inside the triangle. OE ⟂ CD, OF ⟂ BD and OG ⟂ BC. Then
(i)
BG
2
+
CE
2
+
DF
2
=
BF
2
+
DE
2
+
CG
2
(ii)
BG
2
+
CE
2
+
DF
2
=
OE
2
+
OF
2
+
OG
2
(iii)
BG
2
+
CE
2
+
DF
2
=
OG
.
OE
+
OE
.
OF
+
OF
.
OG
(iv)
BG
2
+
CE
2
+
DF
2
=
OB
.
OC
+
OC
.
OD
+
OD
.
OB
Question
4
4.
In the given figure, ∠EBC = ∠DBE and BE ∥ FD and BC = 16 cm, CE = 8 cm and ED = 10 cm. Find BF
(i)
20.00 cm
(ii)
22.00 cm
(iii)
18.00 cm
(iv)
21.00 cm
(v)
19.00 cm
Question
5
5.
In the given figure, △IJK and △QRS are such that
∠J
=
∠R
and
IJ
QR
=
JK
RS
.
Identify the property by which the two triangles are similar
(i)
SAS Similarity
(ii)
SSS Similarity
(iii)
AAA Similarity
(iv)
not similar
Question
6
6.
In the given figure
△GHI
,
J
is the mid-point of
GH
and
JK
∥
HI
,
then
KI
=
(i)
IG
(ii)
JH
(iii)
GK
(iv)
GH
(v)
GJ
Question
7
7.
A ladder reaches a window which is 11 m above the ground on one side of a street. Keeping its foot at the same point, the ladder is turned to the other side of the street to reach a window 14 m high. Find the width of the street if the length of the ladder is 19 m
(i)
28.34 m
(ii)
30.34 m
(iii)
27.34 m
(iv)
29.34 m
(v)
26.34 m
Question
8
8.
The ratio of the bases of two triangles ABC and DEF is
4
:
6
.
If the triangles are equal in area, then the ratio of their heights is
(i)
6
:
4
(ii)
4
:
8
(iii)
5
:
6
(iv)
3
:
6
(v)
4
:
4
Question
9
9.
In the given figure, ∠DEG = 53.13°, find the value of x =
(i)
37.87°
(ii)
36.87°
(iii)
38.87°
(iv)
34.87°
(v)
35.87°
Question
10
10.
Which of the following are true?
a)
A circle is a polygonal region.
b)
A triangle is a polygonal region.
c)
A sector is a polygonal region.
d)
A semi-circle is a polygonal region.
e)
A square is a polygonal region.
(i)
{d,a,b}
(ii)
{c,e,b}
(iii)
{b,e}
(iv)
{a,b}
(v)
{c,e}
Question
11
11.
In the given figure, if CD ∥ EF then
(i)
△CDG ∼ △FEG
(ii)
△GDC ∼ △GFE
(iii)
△GCD ∼ △GEF
(iv)
△CDG ∼ △GFE
(v)
△CDG ∼ △GEF
Question
12
12.
In the given figure,
HI
∥
FG
.
If
EH
HF
=
2
3
and
EG
=
10.7 cm
, find
EI
(i)
5.28 cm
(ii)
2.28 cm
(iii)
3.28 cm
(iv)
4.28 cm
(v)
6.28 cm
Question
13
13.
From the given figure and values, find x
(i)
(
19
,
-1
)
(ii)
(
17
,
-1
)
(iii)
(
18
,
0
)
(iv)
(
1
,
19
)
(v)
(
17
,
-2
)
Question
14
14.
In the given figure, given ∠KHI = ∠JHK, x : y = 9.5 cm : 9.5 cm and p = 18 cm, find q =
(i)
16.00 cm
(ii)
20.00 cm
(iii)
17.00 cm
(iv)
19.00 cm
(v)
18.00 cm
Question
15
15.
In the given figure, △FGH is a triangle in which FG = FH and I is a point on GH. Then
(i)
FG
2
+
FI
2
=
GI
.
HI
(ii)
FG
2
−
FI
2
=
GI
.
HI
(iii)
FG
2
+
FI
2
=
GH
2
(iv)
FG
2
−
FI
2
=
FI
.
HI
(v)
FG
2
−
FI
2
=
FI
.
GI
Question
16
16.
In the given figure, three lines l , m and n are such that l ∥ m ∥ n.
Two transversals PQ and RS intersect them at the points A , B , C and D , E , F respectively.
∠FEH =
(i)
∠EHF
(ii)
∠FDA
(iii)
∠DAF
(iv)
∠ABH
(v)
∠ACF
Question
17
17.
In the given figure,
DE
∥
BC
.
If
AD
=
7.43 cm
,
AB
=
10.4 cm
and
AC
=
15.2 cm
, find
AE
(i)
8.86 cm
(ii)
9.86 cm
(iii)
10.86 cm
(iv)
12.86 cm
(v)
11.86 cm
Question
18
18.
In the given figure, G is a point on side EF of △DEF such that ∠FDE = ∠DGF = 109° , ∠GFD = 30°. Find ∠FDG
(i)
39°
(ii)
40°
(iii)
41°
(iv)
42°
(v)
43°
Question
19
19.
In the given figure, △EFG is isosceles right-angled at F and FH ⟂ GE. ∠FHE =
(i)
∠FGH
(ii)
∠HFG
(iii)
∠GHF
(iv)
∠HEF
(v)
∠EFH
Question
20
20.
Which of the following are true?
a)
Any two squares are congruent.
b)
Any two triangles are similar.
c)
Any two squares are similar.
d)
Any two circles are similar.
e)
Any two circles are congruent.
f)
Any two triangles are congruent.
(i)
{c,d}
(ii)
{a,c}
(iii)
{a,d,c}
(iv)
{b,d}
(v)
{e,f,c}
Question
21
21.
IJKL is a square and △IJM is an equilateral triangle. Also, △IKN is an equilateral triangle. If area of △IJM is 'a' sq.units, then the area of △IKN is
(i)
2a sq.units
(ii)
a
2
sq.units
(iii)
1
2
a sq.units
(iv)
√
3
a sq.units
(v)
1
2
√
3
a sq.units
Question
22
22.
In the given figure, △EGF is right-angled at G, GH ⟂ EF.
EF
= c,
GF
= a,
EG
= b and
GH
= p.
Which of the following are true?
a)
ab
=
pc
b)
1
a
2
+
1
b
2
+
1
c
2
=
1
p
2
c)
1
a
2
+
1
b
2
=
1
c
2
+
1
p
2
d)
a
2
+
b
2
=
c
2
e)
1
a
2
+
1
b
2
=
1
p
2
(i)
{c,d}
(ii)
{b,a,d}
(iii)
{b,a}
(iv)
{a,d,e}
(v)
{b,c,e}
Question
23
23.
Identify the property by which the two given triangles are similar
(i)
not similar
(ii)
AAA Similarity
(iii)
SSS Similarity
(iv)
SAS Similarity
Question
24
24.
In the given figure, O is a point in the interior of the rectangle BCDE. Then
(i)
OB
2
−
OD
2
=
OC
2
−
OE
2
(ii)
OB
2
+
OC
2
+
OD
2
+
OE
2
=
BC
2
+
CD
2
+
DE
2
+
EB
2
(iii)
OB
2
+
OC
2
+
OD
2
+
OE
2
=
BD
2
+
CE
2
(iv)
OB
2
+
OD
2
=
OC
2
+
OE
2
Question
25
25.
In the given figure, RS ∥ IJ , and median HK bisects RS.
△HKJ ∼
(i)
△HIJ
(ii)
△IJH
(iii)
△HIK
(iv)
△HLS
(v)
△HRL
Assignment Key
1) (iv)
2) (ii)
3) (i)
4) (i)
5) (i)
6) (iii)
7) (i)
8) (i)
9) (ii)
10) (iii)
11) (i)
12) (iv)
13) (ii)
14) (v)
15) (ii)
16) (ii)
17) (iii)
18) (iii)
19) (iii)
20) (i)
21) (i)
22) (iv)
23) (iii)
24) (iv)
25) (iv)
