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svp [43]
3 years ago
11

Would #1 be SSS considering they’re asking you to find the hypotenuse? If so would you use Pythagorean theorem to prove SSS? If

not can someone just help me. Thanks.

Mathematics
2 answers:
Ymorist [56]3 years ago
8 0

I think it would be SSS and I don't believe you'd need to use Pythagoras' Theorem

nalin [4]3 years ago
4 0

nope, we dunno if AB ≅ AC, so we can't quite use SSS for a congruence test.

however, we can do congruence by the smaller triangles of ADB and ADC, we know, since it's given, that BD ≅ CD and since the side AD is the same on both triangles, then we can say that the right-triangles of ADB and ADC have congruent legs where BD ≅ CD and AD ≅ AD, thus by the LL theorem for right-triangles, both triangles are congruent, and thus AB ≅ AC.

LL = Leg Leg, if two legs in two right-triangles are congruent, the triangles are congruent.

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