Properties of Triangles

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  • Q1

    Is it possible to have a triangle with angles 34°, 56° and 100°?

    Marks:1
    Answer:

    No, a triangle is not possible because the sum of all
    the three angles (34°+56°+100°=190°) is greater than 180°.

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  • Q2

    Is it possible to have a triangle with sides 6 cm, 15 cm and 7 cm?

    Marks:1
    Answer:

    No, a triangle is not possible because the sum of two sides (6 cm and 7 cm) is less than the third side (15 cm).

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  • Q3

    What is the relation between the exterior angle and interior angles of a triangle?

    Marks:1
    Answer:

    The exterior angle of a triangle is equal to the sum of interior opposite angles of a triangle.

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  • Q4

    Find the value of x in the figure given below.

    Marks:1
    Answer:

    The exterior angle of a triangle is equal to the sum of its two interior opposite angles.
    Therefore,
    x = 45° + 60° = 105°

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  • Q5

    State the types of triangles on the basis of sides.

    Marks:1
    Answer:

    The types of triangles on the basis of sides are:
    a) Equilateral Triangle
    b) Isosceles Triangle
    c) Scalene Triangle

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