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The perimeters of two similar triangles ...

The perimeters of two similar triangles are 30 cm and 20 cm respectively. If one side of the first triangle is 12 cm, determine the corresponding side of the second triangle.

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Knowledge Check

  • The corresponding sides of two equiangular triangles are :

    A
    Equal
    B
    Parallel
    C
    Proportional
    D
    Unequal

  • Two similar triangles have areas 120 sq. cm and 480 sq. cm respectively. Then the ratio of any pair of corresponding sides is :

    A
    `1 : 4`
    B
    `1 : 2`
    C
    `4 : 1`
    D
    `2 : 3`

  • If the sides of a triangle are 3cm , 2cm and 4cm then the cosine of the greatest angle is equal to

    A
    `(7)/(8)`
    B
    `(11)/(16)`
    C
    `-(1)/(4)`
    D
    `(1)/(4)`

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    Explore conceptually related problems

    The corresponding altitudes of two similar triangles are 6 cm and 9 cm respectively. Find the ratio their areas.

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    Construct an isoeceles triangle whose base is 8 cm and altitude 4 cm and then another triangle whose sides 1(1)/(2) times the corresponding sides of the isoeceles triangle.

    Construct a triangle with sides 5 cm, 6 cm and 7 cm and then another triangle whose sides are (7)/(5) of the corresponding sides of the first triangle.

    Construct a triangle with sides 5 cm, 5.5 cm, and 6.5 cm. Construct another triangle whose sides are (3)/(5) times the corresponding sides of the given triangle.

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