ICSE Board Practice

ICSE Grade VIII - Triangles
Question 1
1.
Calculate the value of the lettered angle in the following figure
  • x
    =
    23.73°
  • x
    =
    26.73°
  • x
    =
    27.73°
  • x
    =
    25.73°
  • x
    =
    24.73°
Question 2
2.
    • In the given figure,
    • △ABC
    • is a triangle in which
    • ∠A
    • =
    • ∠B
    • =
    • ∠C
    • .
    • This bisectors of
    • ∠B
    • and
    • ∠C
    • intersect at
    • D
    • .
    • Find
    • ∠D
    • =
  • 118°
  • 122°
  • 121°
  • 119°
  • 120°
Question 3
3.
Which of the following are measures of an isosceles triangle ?
  • PQ = 14 cm , QR = 15 cm , RP = 20.52 cm
  • PQ = 15 cm , QR = 13 cm , RP = 10 cm
  • PQ = 10 cm , QR = 14 cm , RP = 10 cm
  • PQ = 13 cm , QR = 12 cm , RP = 15 cm
  • PQ = 12 cm , QR = 12 cm , RP = 12 cm
Question 4
4.
Find the unknown angle in the following figure
  • x
    =
    91°
  • x
    =
    89°
  • x
    =
    88°
  • x
    =
    90°
  • x
    =
    92°
Question 5
5.
A vehicle goes 14 km West and then 11 km South. How far is it from its starting point ?
  • 16.80 km
  • 17.80 km
  • 15.80 km
  • 19.80 km
  • 18.80 km
Question 6
6.
    • The line joining each vertex to the mid-point of the opposite side of a triangle is called
  • centroid
  • excentre
  • median
  • circumcentre
  • altitude
Question 7
7.
    • The median corresponding to the side
    •  


      GH
       
       
  •  


    GJ
     
     
  •  


    FJ
     
     
  •  


    HK
     
     
  •  


    FI
     
     
  •  


    FG
     
     
Question 8
8.
Which of the following are measures of an acute angled triangle ?
  • DE = 13 cm , EF = 14 cm , FD = 15 cm
  • DE = 10 cm , EF = 18 cm , FD = 13 cm
  • DE = 10 cm , EF = 12 cm , FD = 15.62 cm
  • DE = 13 cm , EF = 18 cm , FD = 12 cm
  • DE = 10 cm , EF = 10 cm , FD = 14.14 cm
Question 9
9.
Two angles of a triangle measure 54° and 64° respectively. Find the measure of the third angle of the triangle
  • 64°
  • 63°
  • 60°
  • 61°
  • 62°
Question 10
10.
    • In the given figure, △ABC is a triangle in which ∠B = 55.98° and ∠C = 50.48°.
    • If 'z' is the angle between the bisector of ∠B and ∠C, then find z.
  • 124.77°
  • 126.77°
  • 125.77°
  • 128.77°
  • 127.77°