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SAI International School

                                                      CLASS – VII
           Mathematics
           Chapter- 7: Triangle and its properties

           Answer Key:Worksheet- 2

           Question  Questions                                                                             Marks
           No.
               1)      In a right-angled triangle, the side opposite to the right angle is called the      1
                       __________.
                       Ans: hypotenuse
               2)      The line segment joining a vertex of a triangle to the mid point of its opposite  1
                       side is called a ___________of the triangle.
                       Ans: median
               3)      The base angles of an _________ triangle have equal measure.                        1


                       Ans: isosceles


               4)      Which of the following statements is not correct?                                   1
                       (a) The sum of any two sides of a triangle is greater than the third side
                       (b) A triangle can have all its angles acute
                        (c) A right-angled triangle cannot be equilateral
                        (d) Difference of any two sides of a triangle is greater than the third side

                       Ans: (d) Difference of any two sides of a triangle is greater than the third side
               5)      If one angle of a triangle is equal to the sum of the other two angles, the         1
                       triangle is
                       (a) obtuse              (b) acute                      (c) right                    (d) equilateral

                       Ans: (c) right
               6)      The lengths of two sides of a triangle are 11 cm and 18 cm. between what
                       two measures should the length of the third side fall?
                       Ans: 7 and 29
               7)      One of the angles of a triangle is 74º and the other two angles are equal.
                       Find the measure of each of the equal angles.
                       Ans:
                           0
                       180  - 74º = 106 0
                                                                    0
                                                                               0
                       measure of each of the equal angles = 106 ÷ 2 = 53
               8)      PQR is a triangle, right-angled at P. If PQ = 10cm and PR = 24 cm, find QR.
                                       2
                                              2
                                2
                       Ans: QR  = PQ  + PR
                                             2
                                      2
                                       = 10  + 24
                                                           2
                                        = 100 + 576 = 676 = 26
                       SO, QR = 26 cm
               9)      A 15 m long ladder reached a window 12 m high from the ground on placing
                       it against a wall at a distance “a”. Find the distance of the foot of the ladder
                       from the wall.
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