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Proving Triangles Congruent 3286 Views
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Description:
Someday you might be a big, fancy defense lawyer, and you'll have to prove that your client's triangle was congruent to the triangle in question. We're not quite sure how that would get your client off the hook for armed robbery, but it sure would be nice to wow the jury with your geometry skills.
Transcript
- 00:04
Proving triangles congruent hypotenuse leg theorem a la shmoop
- 00:09
doctor Felinestein's experiment to breed a race of talking house cats with [Cats appear meowing]
- 00:14
heightened awareness of democratic treatment and equality has gone terribly
- 00:18
awry the cats quickly split into two opposing parties each thought their
- 00:23
respective philosophy would most benefit the group as a whole to control them the
Full Transcript
- 00:28
doctor roped off two triangular areas in corners of the rectangular room that [Cats on opposite sides of a room]
- 00:33
housed the cats so the parties could not attack each other quickly backfired as
- 00:39
both parties began to demand that their sections of quarantine be exactly the
- 00:43
same area and shape but how is the doctor gonna prove that their areas are
- 00:48
congruent without having to reach into two pits of murderous politically
- 00:52
conscious cats while the hypotenuse leg theorem abbreviated H-L states two
- 00:59
right triangles are congruent if their hypotenuse is congruent and a
- 01:03
corresponding leg is congruent perhaps Dr. Felinestein can use this to prove [Light bulb appears above Dr Felinestein]
- 01:09
the cat's spaces congruent we've established that the room is a rectangle
- 01:13
everyone agrees on that that means each triangle has one right angle making them
- 01:19
both right triangles we also know that because the room is a rectangle these
- 01:24
sides opposite each others are the same length
- 01:27
Dr. Felinestein knows he used the same length of rope to contain the two cat
- 01:32
parties in this case the rope represents the hypotenuse of those triangles
- 01:36
because it's the side opposite the right angle so these two right triangles have [Two right triangles appear in a rectangle]
- 01:41
the same length of hypotenuse as well as corresponding legs
- 01:45
save length by the hypotenuse leg theorem the triangles are congruent it's
- 01:51
important to note that the hypotenuse-leg theorem is the only case of the
- 01:54
side-side-angle that one can use to prove that two triangles are congruent
- 01:59
at least the cats can stop arguing about that for now, the next topic; the tuna deficit... [Tuna cans hit Dr in the face and cats attack]
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