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Class VI
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Class X
CBSE Grade X - Triangles
Question
1
1.
JKLM is a square and △JKN is an equilateral triangle. Also, △JLO is an equilateral triangle. If area of △JKN is 'a' sq.units, then the area of △JLO is
2a sq.units
a
2
sq.units
√
3
a sq.units
1
2
√
3
a sq.units
1
2
a sq.units
Question
2
2.
In the given figure, QR ∥ CD , and median BE bisects QR.
If BC = 16 cm, BE = 16.1 cm and BQ = 7.27 cm, FE =
6.78 cm
10.78 cm
9.78 cm
8.78 cm
7.78 cm
Question
3
3.
Identify the property by which the two given triangles are similar
not similar
AAA Similarity
SSS Similarity
SAS Similarity
Question
4
4.
In the given figure, if A, Q, R, S, T, U are equidistant and RP ∥ UB and AB = 22 cm. Find AP
6.80 cm
8.80 cm
10.80 cm
9.80 cm
7.80 cm
Question
5
5.
In the given figure, if CD ∥ EF then
△GDC ∼ △GFE
△CDG ∼ △GFE
△CDG ∼ △FEG
△GCD ∼ △GEF
△CDG ∼ △GEF
Question
6
6.
In the given figure, the altitudes OB and CP of △ABC meet at N. △NBC ∼
△OCB
△PBN
△OCN
△PBC
△NPO
Question
7
7.
In the given figure, in △FGH, 'O' is a point inside the triangle. OI ⟂ GH, OJ ⟂ FH and OK ⟂ FG. Then
FK
2
+
GI
2
+
HJ
2
=
FG
2
+
IH
2
+
HF
2
−
GK
2
−
HI
2
−
JF
2
FK
2
+
GI
2
+
HJ
2
=
OK
2
+
OJ
2
+
OI
2
FK
2
+
GI
2
+
HJ
2
=
OF
2
+
OG
2
+
OH
2
+
OI
2
+
OJ
2
+
OK
2
FK
2
+
GI
2
+
HJ
2
=
OF
2
+
OG
2
+
OH
2
−
OI
2
−
OJ
2
−
OK
2
Question
8
8.
From the given figure and values, find x
(
38
,
-16
)
(
38
,
-17
)
(
39
,
-15
)
(
41
,
-16
)
(
-14
,
40
)
Question
9
9.
In the given figure, △BCD ∼ △QRS and BC = 10 cm, QR = 14 cm.
If the area of the
△QRS
=
94.08 sq.cm
, find the area of the
△BCD
47.00 sq.cm
50.00 sq.cm
49.00 sq.cm
46.00 sq.cm
48.00 sq.cm
Question
10
10.
In the given figure, △DEF, PQ ∥ EF such that
area of
△DPQ
= area of
PQFE
. Find
DP
DE
1
2
4
√
2
1
2
√
-1
1
2
√
4
1
1
2
√
2
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