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Rajan@2021
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In the figure below AB, CD and EF are parallel lines. Given AB= 7.5 cm, DC= y cm. EF = 4.5 cm, BC= x cm and CE = 3 cm. Calculate the values of x and y.

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Find the values of X and Y if in the figure below AB, CD and EF are parallel lines. Given AB= 7.5 cm, DC= y cm. EF = 4.5 cm, BC= x cm and CE = 3 cm.

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  1. Consider  ACB△ACB  and    CEF△CEF

    Both triangles are similar

    ABEF=x3∴ABEF=x3

    7.54.5=x3⇒7.54.5=x3

    x=7.54.5×3x=7.54.5×3

    x=5∴x=5cm

    Consider BCD△BCD  and  BFE△BFE

    xy=x+34.5xy=x+34.5

    5y=5+34.55y=5+34.5

    y=5×4.58⇒y=5×4.58

    y=4516∴y=4516cm

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