anonymous
  • anonymous
The lengths of the sides of a triangle are 8, 11, and 14. Find the perimeter of a similar triangle whose longest side measures 21.
Mathematics
chestercat
  • chestercat
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nikvist
  • nikvist
\[\frac{O_2}{O_1}=\frac{a_2}{a_1}=\frac{b_2}{b_1}=\frac{c_2}{c_1}=\frac{21}{14}=1.5\] \[O_2=1.5O_1=1.5(8+11+14)=49.5\]
anonymous
  • anonymous
can u explain to me how you got that ?
nikvist
  • nikvist
These triangls are similar. Similarity ratio is 21/14=1.5. Their perimeters are similar also.

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anonymous
  • anonymous
where did u get 1.5 ?
anonymous
  • anonymous
where did u get that equation ?
nikvist
  • nikvist
longest side of 2nd triangle : longest side of 1st triangle = 21:14 =1.5
anonymous
  • anonymous
oh i understand now. thanks

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