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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 91cm The second length is to be 3 cm 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 at least 5cm longer than the second?

Text Solution

AI Generated Solution

To solve the problem step by step, we will define the lengths of the three pieces of the board based on the information provided. ### Step 1: Define the lengths Let the length of the shortest piece be \( x \) cm. - The second length (medium piece) is 3 cm longer than the shortest, so it can be expressed as: \[ m = x + 3 ...
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Knowledge Check

  • One leg of a right triangle is 1 cm shorter than the other leg and the hypotenuse is 2cm longer than the longer leg . What is the length of the longer leg ?

    A
    `2+2sqrt3`
    B
    `3+2sqrt3`
    C
    `5+2sqrt3`
    D
    `3-2sqrt3`

  • The area of right triangle is 35 square inches. If the longer leg is 3 inches longer than the shorter leg, what is the length of the hypotenuse, in inches ?

    A
    10
    B
    `(sqrt35)/(2)`
    C
    `(7 sqrt1)`
    D
    `sqrt149`

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