-Welp-
  • -Welp-
I am having trouble figuring out when to use SAS, SSS, ASA and AS postulates. Examples: http://i.imgur.com/uP4xP7P.png I can see how SSS or SAS could be the answer but I don't know which one I'm supposed to use. http://i.imgur.com/czkBNRh.png I don't know if I should use SSS, SAS, or AS.
Mathematics
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-Welp-
  • -Welp-
I am having trouble figuring out when to use SAS, SSS, ASA and AS postulates. Examples: http://i.imgur.com/uP4xP7P.png I can see how SSS or SAS could be the answer but I don't know which one I'm supposed to use. http://i.imgur.com/czkBNRh.png I don't know if I should use SSS, SAS, or AS.
Mathematics
katieb
  • katieb
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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anonymous
  • anonymous
to find the postulates youll need to now th hl postulate and the la postulates
phi
  • phi
You use SAS, SSS, etc to show two triangles are congruent (same size and shape, i.e. identical) But this problem has two triangles that are *not* congruent. The two triangles are similar (their corresponding angles are equal)
phi
  • phi
thus you could use "corresponding parts of similar triangles" to write a ratio of the sides of the little triangle and the "big" outer triangle. For example, the ratio of left side to bottom side the small triangle has 5 for the left and 10 for the bottom the big triangle has left side 5+2.5= 7.5 and x (unknown) for the bottom write the ratio \[ \frac{10}{5} = \frac{x}{7.5} \] simplify the left ratio to 2 \[ 2= \frac{x}{7.5} \]

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phi
  • phi
multiply both sides by 7.5 to get 2*7.5 = x or x= 15 in other words, the bottom side of the big triangle is 15

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