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A man wants to cut three lengths from a ...

A man wants to cut three lengths from a single piece of board of length 91 cm. The second length is to be 3cm longer than the shortest and the third length is to be twice as long as the shortest. What are the possible lengths of the shortest board if the third piece is to be atleast 5cm longer than the second?

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The longest side of a triangle is 3 times the shortest side and the third side is 2 cm shorter than the longest side. If the perimeter of the triangle is at least 61 cm, find the minimum length of the shortest side.

The longest side of a triangle is 3 times the shortest side and the third side is 2 cm shorter than the longest side. If the perimeter of the triangle is at least 61 cm, find the minimum length of the shortest side.

Knowledge Check

  • Two sides of a triangle are 2sqrt(2)cm and 2sqrt(3)cm . The angle opposite to the shorter side is (pi)/(4) . The largest possible length of the third side is

    A
    `(6+sqrt(2))cm`
    B
    `(sqrt(6)-sqrt(2))cm`
    C
    `(sqrt(6)+1/sqrt(2))cm`
    D
    None of these

  • The length of the tangent drawn to a circle of radius 3cm from 5cm away from the centre is

    A
    4cm
    B
    5cm
    C
    3cm
    D
    2cm

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