CBSE Board Practice

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CBSE Grade X - Triangles
Question 1
1.
In the given figure, if A, Q, R, S, T, U are equidistant and RP ∥ UB and AB = 23 cm. Find AP
  • 8.20 cm
  • 10.20 cm
  • 11.20 cm
  • 7.20 cm
  • 9.20 cm
Question 2
2.
Which of the following are measures of a right angled triangle ?
  • IJ = 11 cm , JK = 24 cm , KI = 15 cm
  • IJ = 14 cm , JK = 14 cm , KI = 14 cm
  • IJ = 13 cm , JK = 15 cm , KI = 19.85 cm
  • IJ = 14 cm , JK = 15 cm , KI = 10 cm
  • IJ = 15 cm , JK = 11 cm , KI = 14 cm
Question 3
3.
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 16 m high. Find the width of the street if the length of the ladder is 17 m
  • 19.71 m
  • 20.71 m
  • 18.71 m
  • 16.71 m
  • 17.71 m
Question 4
4.
Which of the following are true?
a)
Similar figures have same area.
b)
If two figures are similar, then they are congruent too.
c)
Congruent figures have same area.
d)
If two figures are congruent, then they are similar too.
e)
Similar and congruent are not synonymous.
  • {a,b,e}
  • {a,c}
  • {c,d,e}
  • {a,c,d}
  • {b,d}
Question 5
5.
In the given figure, △HIJ is right-angled at I. Also, IK ⟂ HJ. Which of the following are true?
a)
    • IJ
      2
    • =
    • HJ
    • .
    • HK
b)
    • HI
      2
    • =
    • JH
    • .
    • JK
c)
    • IJ
      2
    • =
    • JH
    • .
    • JK
d)
    • IK
      2
    • =
    • HK
    • .
    • KJ
e)
    • HI
      2
    • =
    • HJ
    • .
    • HK
  • {b,d}
  • {a,b,e}
  • {c,d,e}
  • {a,c}
  • {a,c,d}
Question 6
6.
Two poles of heights 5 m and 14 m stand vertically on a plane ground. If the distance between their feet is 14 m, find the distance between their tops
  • 16.64 m
  • 17.64 m
  • 18.64 m
  • 14.64 m
  • 15.64 m
Question 7
7.
    • In the given figure, NOPQ is a trapezium in which
    • NO ∥ PQ
    • and the diagonals
    • OQ
    • and
    • NP
    • intersect at
    • R
    • .
    • △RPQ
    •  
    • ∼
  • △ROP
  • △OPQ
  • △RNO
  • △QNO
  • △RQN
Question 8
8.
In the given figure, △EFG is an acute angled triangle and EH ⟂ FG. Then
      • EG
        2
      • =
      • EF
        2
      • +
      • FG
        2
      • +
      • 2
      • FG
      • .
      • FH
      • EG
        2
      • =
      • EF
        2
      • +
      • FG
        2
      • −
      • EH
        2
      • EG
        2
      • =
      • EF
        2
      • +
      • FG
        2
      • +
      • 2
      • EF
      • .
      • FG
      • EG
        2
      • =
      • EF
        2
      • +
      • FG
        2
      • −
      • 2
      • EF
      • .
      • FG
      • EG
        2
      • =
      • EF
        2
      • +
      • FG
        2
      • −
      • 2
      • FG
      • .
      • FH
Question 9
9.
In the given figure, △ABC is a triangle with AD being the median of BC. Then
      • AB
        2
      • +
      • AC
        2
      • =
      • 2
      • BD
        2
      • +
      • 2
      • AD
        2
      • AB
        2
      • +
      • AC
        2
      • =
      • AD
        2
      • AB
        2
      • +
      • AC
        2
      • =
      • 2
      • BD
        2
      • +
      • 2
      • DC
        2
      • AB
        2
      • +
      • AC
        2
      • =
      • 2
      • DC
        2
      • +
      • 2
      • AD
        2
      • AB
        2
      • +
      • AC
        2
      • =
      • BC
        2
Question 10
10.
In the given figure, the altitudes PG and HQ of △FGH meet at O. △PHG ∼
  • △OGH
  • △OQP
  • △QGH
  • △PHO
  • △QGO