• Math

  Ratio and Proportion

  Posted by Deepak on June 22, 2023 at 3:21 pm

  If AB= 9cm, BC= 4cm, YZ= 8cm. then find the value of XY. If AB:BC :: XY:YZ.

  Prathyush replied 3 months, 1 week ago 2 Members · 1 Reply

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  Prathyush

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  June 22, 2023 at 3:30 pm

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  If AB = 9cm, BC = 4cm, and YZ = 8cm, and we are given that AB:BC :: XY:YZ, we can use the concept of proportional sides to find the value of XY.

  Using the concept of ratios, we have: AB:BC = XY:YZ

  Substituting the given values: 9cm:4cm = XY:8cm

  To find the value of XY, we can set up a proportion: 9cm/4cm = XY/8cm

  Cross-multiplying: 9cm * 8cm = 4cm * XY

  72cm² = 4cm * XY

  Dividing both sides by 4cm: 18cm = XY

  Therefore, the value of XY is 18cm.

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