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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?
 one year ago
 one year 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?
 one year ago
 one year ago

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sauravshakyaBest ResponseYou've already chosen the best response.2
dw:1358609419748:dw LET THAT TWO TRIANGLES BE SIMILAR
 one year ago

sauravshakyaBest ResponseYou've already chosen the best response.2
(a+b+c)/(a'+b'+c')=11/13
 one year ago

victorlau123Best ResponseYou've already chosen the best response.0
What do I do next? I get what you are doing
 one year ago

sauravshakyaBest ResponseYou've already chosen the best response.2
u mean difference of all three corresponding sides are 1m or only difference of one corresponding sides is 1m
 one year ago

victorlau123Best ResponseYou've already chosen the best response.0
pair of corresponding sides.
 one year ago

sauravshakyaBest ResponseYou've already chosen the best response.2
So, all a'a=1 ====>a'=a+1 b'b=1====>b'=b+1 c'c=1====>c'=c+1
 one year ago

victorlau123Best ResponseYou've already chosen the best response.0
difference between one corresponding sides is 1m
 one year ago

sauravshakyaBest ResponseYou've already chosen the best response.2
U mean only a'a=1 NOT all
 one year ago

sauravshakyaBest ResponseYou've already chosen the best response.2
(a+b+c)/(a'+b'+c')=11/13 13a+13b+13c=11a'+11b'+11c' (13a11a') + (13b11b') + (13c11c')=0 a (1311a'/a) +b (1311b'/b) +c(1311c'/c)=0 Now, a'/a =b'/b =c'/c = (1+a)/a So, (a+b+c) {1311(1+a)/a}
 one year ago

sauravshakyaBest ResponseYou've already chosen the best response.2
Similarly, a'(13a/a' 11) + b'(13b/b' 11) +c' (13c/c' 11)=0 (a'+b'+c') { 13a/(a+1) 11}=0
 one year ago

sauravshakyaBest ResponseYou've already chosen the best response.2
So, (a+b+c) {1311(1+a)/a}/(a'+b'+c') { 13a/(a+1) 11}=0 {13 11(1+a)/a}=0 13a1111a=0 2a=11 a=5.5
 one year ago

sauravshakyaBest ResponseYou've already chosen the best response.2
So, is it 5.5 and 6.5
 one year ago

sauravshakyaBest ResponseYou've already chosen the best response.2
NOTE: I assumed a'a=1
 one year ago
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