ICSE Board Practice

ICSE Grade VIII - Triangles
Question 1
1.
The angles of a triangle ABC are in the ratio 4 : 3 : 11. Find the measure of each angle of the triangle
  • A
    =
    42°
    ,
    B
    =
    30°
    ,
    C
    =
    108°
  • A
    =
    38°
    ,
    B
    =
    30°
    ,
    C
    =
    112°
  • A
    =
    38°
    ,
    B
    =
    32°
    ,
    C
    =
    110°
  • A
    =
    40°
    ,
    B
    =
    30°
    ,
    C
    =
    110°
  • A
    =
    40°
    ,
    B
    =
    28°
    ,
    C
    =
    112°
Question 2
2.
Which of the following are measures of an isosceles triangle ?
  • JK = 15 cm , KL = 13 cm , LJ = 10 cm
  • JK = 13 cm , KL = 15 cm , LJ = 13 cm
  • JK = 14 cm , KL = 13 cm , LJ = 11 cm
  • JK = 11 cm , KL = 15 cm , LJ = 18.6 cm
  • JK = 15 cm , KL = 15 cm , LJ = 15 cm
Question 3
3.
Which of the following are measures of an obtuse angled triangle ?
  • ∠K = 45° , ∠L = 90° , ∠M = 45°
  • ∠K = 62.72° , ∠L = 54.56° , ∠M = 62.72°
  • ∠K = 60° , ∠L = 60° , ∠M = 60°
  • ∠K = 49.4° , ∠L = 90° , ∠M = 40.6°
  • ∠K = 132.84° , ∠L = 18.59° , ∠M = 28.57°
Question 4
4.
Find the unknown marked angle in the following figure
  • x
    =
    67.31°
  • x
    =
    66.31°
  • x
    =
    65.31°
  • x
    =
    64.31°
  • x
    =
    63.31°
Question 5
5.
Identify the property by which the two given triangles are congruent
  • RHS Congruency
  • SAS Congruency
  • ASA Congruency
  • SSS Congruency
Question 6
6.
Which of the following are measures of a right angled triangle ?
  • LM = 10 cm , MN = 10 cm , NL = 10 cm
  • LM = 15 cm , MN = 15 cm , NL = 10 cm
  • LM = 15 cm , MN = 12 cm , NL = 19.21 cm
  • LM = 12 cm , MN = 19 cm , NL = 14 cm
  • LM = 12 cm , MN = 10 cm , NL = 15 cm
Question 7
7.
Which of the following are measures of a scalene triangle ?
  • ∠A = 60° , ∠B = 60° , ∠C = 60°
  • ∠A = 52.89° , ∠B = 41.65° , ∠C = 85.46°
  • ∠A = 71.38° , ∠B = 54.31° , ∠C = 54.31°
  • ∠A = 65.6° , ∠B = 57.2° , ∠C = 57.2°
  • ∠A = 45° , ∠B = 90° , ∠C = 45°
Question 8
8.
Which of the following are measures of a scalene triangle ?
  • ∠B = 60° , ∠C = 60° , ∠D = 60°
  • ∠B = 66.12° , ∠C = 56.94° , ∠D = 56.94°
  • ∠B = 45° , ∠C = 90° , ∠D = 45°
  • ∠B = 47.16° , ∠C = 66.42° , ∠D = 66.42°
  • ∠B = 51.32° , ∠C = 69.51° , ∠D = 59.17°
Question 9
9.
    • The point of intersection of the altitudes of a triangle is called
  • excentre
  • orthocentre
  • altitude
  • centroid
  • median
Question 10
10.
In the given figure, which of the following is true?
  • △ABC ≅ △UST
  • △ABC ≅ △UTS
  • △BCA ≅ △STU
  • △ABC ≅ △STU
  • △ABC ≅ △TUS