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OpenStudy (anonymous):
In the figure, ΔABC ~ ΔDEF. Solve for x.
Triangles ABC and DEF. Angles B and E are congruent and measure 160 degrees. AB measures x. BC measures 16. DE measures 3. EF measures 8.
x = 1.5
x = 6
x = 4
x = 5.5
OpenStudy (anonymous):
1.5 is what i got
OpenStudy (anonymous):
OpenStudy (danjs):
k..
OpenStudy (danjs):
~ means similar right..
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OpenStudy (anonymous):
ya
OpenStudy (danjs):
ok i think you mixed it up a bit...
OpenStudy (anonymous):
how
OpenStudy (danjs):
since the triangles are similar, the ratios of similar sides are the same...
OpenStudy (anonymous):
so that means it would have to be 5.5
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OpenStudy (danjs):
\[\frac{ DE }{ AB } = \frac{ EF }{ BC }\]
OpenStudy (anonymous):
so i was right because it would equal and 5.5 shows that
OpenStudy (danjs):
\[\frac{ 3 }{ x } = \frac{ 8 }{ 16 }\]
OpenStudy (anonymous):
im lost
OpenStudy (danjs):
the ratios of DE/AB has to be the same as EF/BC , since they are similar triangles
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OpenStudy (danjs):
just have to fill in the numbers
OpenStudy (anonymous):
well now i got 6 i multiplied then divided by 100
OpenStudy (danjs):
yep, x=6
OpenStudy (anonymous):
yesss
OpenStudy (anonymous):
thats cross multiplying
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