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Math Help - Geometry Similar triangles- Find Side with ratio

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    Senior Member vaironxxrd's Avatar
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    Geometry Similar triangles- Find Side with ratio

    Can someone check my work for this question. At First i got 34 But the Teacher said it was wrong.. So please help.
    By the way do we add Overlapping triangles sides? For example two triangles are overlapping one is 2 and the other 4. so the side with 4 would be added with 2 =6 When doing ratios right? Kind of hard to explain when writing this is more clear in the picture.



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    Best thing to do to see the correct ratios is.... (if RS is parallel to QP)

    Remove triangle TRS from triangle TQP.

    Now write the full lengths of the sides of TQP.

    The sides of the smaller triangle are magnified by the same factor to enlarge it to TQP.
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    Senior Member vaironxxrd's Avatar
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    Quote Originally Posted by Archie Meade View Post
    Best thing to do to see the correct ratios is.... (if RS is parallel to QP)

    Remove triangle TRS from triangle TQP.

    Now write the full lengths of the sides of TQP.

    The sides of the smaller triangle are magnified by the same factor to enlarge it to TQP.
    I tried that and got 34 again here is the Picture.



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    If I follow your diagrams correctly then
    m(\overline{TQ})=24 not 16.
    S0 m(\overline{QP})=51
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    Why is your triangle TQP incorrect ?

    Look at your original diagram.
    The distance from R to Q is 16, not the distance from T to Q.
    Same for the other slanted side.

    Do you see this ?
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    Senior Member vaironxxrd's Avatar
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    Quote Originally Posted by Plato View Post
    If I follow your diagrams correctly then
    m(\overline{TQ})=24 not 16.
    S0 m(\overline{QP})=51
    No my Geometry sheet says 16
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    Senior Member vaironxxrd's Avatar
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    Quote Originally Posted by Archie Meade View Post
    Why is your triangle TQP incorrect ?

    Look at your original diagram.
    The distance from R to Q is 16, not the distance from T to Q.
    Same for the other slanted side.

    Do you see this ?
    Now i notice.. That is what i was asking overlapping triangles are added? I asked that question in the beginning sorry Guys .
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    Quote Originally Posted by vaironxxrd View Post
    No my Geometry sheet says 16
    You may be reading the sheet incorrectly.
    Does is actually say QT=16~\&~RT=8~?

    OR did it just give the diagram that you reproduced?

    If the latter is the case, I suggest you are reading the diagram incorrectly.
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    Senior Member vaironxxrd's Avatar
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    Quote Originally Posted by Plato View Post
    If I follow your diagrams correctly then
    m(\overline{TQ})=24 not 16.
    S0 m(\overline{QP})=51
    Quote Originally Posted by Archie Meade View Post
    Why is your triangle TQP incorrect ?

    Look at your original diagram.
    The distance from R to Q is 16, not the distance from T to Q.
    Same for the other slanted side.

    Do you see this ?
    Quote Originally Posted by Plato View Post
    You may be reading the sheet incorrectly.
    Does is actually say QT=16~\&~RT=8~?

    OR did it just give the diagram that you reproduced?

    If the latter is the case, I suggest you are reading the diagram incorrectly.
    NO QT=24 because i added 8+16 but the paper does say QR=16 as shown in the picture. I Redid the problem



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    That is exactly as I said it is.
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  11. #11
    Senior Member vaironxxrd's Avatar
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    Quote Originally Posted by Plato View Post
    That is exactly as I said it is.
    Thanks to all. By the way plato when i have overlapping triangles i should take each one out separately and , add the sides?
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