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An angle bisector of a triangle divides the opposite side of the triangle into segments 6 cm and 5 cm long. A second side of the triangle is 6.9 cm long. Find the longest and shortest possible lengths of the third side of the triangle. Round answers to the nearest tenth of a centimeter.

41.4 cm, 8.3 cm
30 cm, 5.8 cm
41.4 cm, 4.3 cm
8.3 cm, 5.8 cm

  • geometry -

    i believe the answer to be D.

  • geometry -

    call the third side of the triangle x.

    The angle bisector theorem states that the angle bisector to a side divides the side into segments whose ratio equals the ratio of the other two sides.

    Since we don't know which other side is 6.9, either

    x/6.9 = 5/6
    x/6.9 = 6/5

    So, x is 5.8 or 8.3 -- answer D

  • geometry -

    hey im in connections a too. and wanted to know if you had the answers to the geometry b unit 1 test similarity unit test one of the questions look like this: 1. The Sears Tower in Chicago is 1450 feet high. A model of the tower is 24 inches tall. What is the ratio of the height of the model to the height of the actual Sears Tower? (1 point) 1:725 725:1 12:725 725:12 can u please reply no one ever does and i have other assignments for different classes if u want to trade work.

  • geometry -

    email me at: winkletanya(at)y*hoo(dot) com but all together

  • Geometry -

    Stop cheating you nerds, get a damn education!

  • geometry -

    why don't you shut up you would have to be cheating to find this so stfub

  • geometry -

    U have an account to so ur a nerd to so get a damn education! @helga pataki

  • geometry -

    absolutely pathetic comment thread

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