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victorlau123

  • 3 years ago

Perimeter of one triangle is 11/13 of the perimeter of a similar triangle. The difference of the lengths of two corresponding sides is 1m. What are the lengths of these sides?

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  1. sauravshakya
    • 3 years ago
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    |dw:1358609419748:dw| LET THAT TWO TRIANGLES BE SIMILAR

  2. sauravshakya
    • 3 years ago
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    (a+b+c)/(a'+b'+c')=11/13

  3. victorlau123
    • 3 years ago
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    @hero

  4. victorlau123
    • 3 years ago
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    What do I do next? I get what you are doing

  5. sauravshakya
    • 3 years ago
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    u mean difference of all three corresponding sides are 1m or only difference of one corresponding sides is 1m

  6. victorlau123
    • 3 years ago
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    pair of corresponding sides.

  7. sauravshakya
    • 3 years ago
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    So, all a'-a=1 ====>a'=a+1 b'-b=1====>b'=b+1 c'-c=1====>c'=c+1

  8. victorlau123
    • 3 years ago
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    yep

  9. victorlau123
    • 3 years ago
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    difference between one corresponding sides is 1m

  10. sauravshakya
    • 3 years ago
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    U mean only a'-a=1 NOT all

  11. victorlau123
    • 3 years ago
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    yes

  12. victorlau123
    • 3 years ago
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    that is correct

  13. sauravshakya
    • 3 years ago
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    (a+b+c)/(a'+b'+c')=11/13 13a+13b+13c=11a'+11b'+11c' (13a-11a') + (13b-11b') + (13c-11c')=0 a (13-11a'/a) +b (13-11b'/b) +c(13-11c'/c)=0 Now, a'/a =b'/b =c'/c = (1+a)/a So, (a+b+c) {13-11(1+a)/a}

  14. sauravshakya
    • 3 years ago
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    Similarly, a'(13a/a' -11) + b'(13b/b' -11) +c' (13c/c' -11)=0 (a'+b'+c') { 13a/(a+1) -11}=0

  15. sauravshakya
    • 3 years ago
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    So, (a+b+c) {13-11(1+a)/a}/(a'+b'+c') { 13a/(a+1) -11}=0 {13 -11(1+a)/a}=0 13a-11-11a=0 2a=11 a=5.5

  16. sauravshakya
    • 3 years ago
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    So, is it 5.5 and 6.5

  17. sauravshakya
    • 3 years ago
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    NOTE: I assumed a'-a=1

  18. victorlau123
    • 3 years ago
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    Thanks

  19. sauravshakya
    • 3 years ago
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    welcome

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