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katlin95

  • one year ago

Use the Triangle Proportionality Theorem to solve for x. A. x = 2 B. x = 2.5 C. x = 3 D. x = 3.5

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  1. katlin95
    • one year ago
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  2. Kuoministers
    • one year ago
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    4/6=6/(6+x)

  3. Kuoministers
    • one year ago
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    just work out what x equals and thart is your answe

  4. mathstudent55
    • one year ago
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    The two triangles are similar, so their corresponding sides are proportional. That means 4 is to 2 as 4 + 2 is to 6 + x or as an equation, 4/2 = (4+ 2)/(6 + x) Cross multiply and solve for x.

  5. katlin95
    • one year ago
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    how do i croos multiply? could you five me the solution?

  6. Kuoministers
    • one year ago
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    @mathstudent55 wouldnt it be 4/6 not 4/2? Because its 4 over the whole length of the side which is 6? 4+2

  7. mathstudent55
    • one year ago
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    You are absolutely correct. Let me do it again. The two triangles are similar, so their corresponding sides are proportional. That means 4 is to 6 as 4 + 2 is to 6 + x or as an equation, 4/6 = (4+ 2)/(6 + x) Cross multiply and solve for x.

  8. mathstudent55
    • one year ago
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    Interstingly enough, this simpler proportion also works: 4/2 = 6/x because the segments measuring 2 and x are also in the same ratio as the sides measuring 4 and 6 and the sides measuring 4 + 2 and 6 + x

  9. katlin95
    • one year ago
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    so should I do 4*6=2*x

  10. Kuoministers
    • one year ago
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    \[\huge\frac{ 4 }{ 6 } = \frac{ 6 }{ 6 + x }\]

  11. katlin95
    • one year ago
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    I got x=3

  12. Kuoministers
    • one year ago
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    Now we cross multiply and divide everything by 4 \[\huge4(6 + x) = 36\] \[\huge6 + x = 9\] now find x

  13. mathstudent55
    • one year ago
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    |dw:1359442199584:dw|

  14. Kuoministers
    • one year ago
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    both ways give you x=3 so its your choice to see which way you liked better.

  15. Kuoministers
    • one year ago
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    \[\Huge{\color{Purple}{\\{\ \boxed{\mathbb{\text{}{}}{\color{green}{\color{blue}T{\color{purple}H{\color{pink}A{\color{red}NK{\color{orange}S}}}}}}}}}} \]

  16. katlin95
    • one year ago
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    HAHA cool!

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