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In triangle ABC, AB = AC = 4.
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29 Jan 2025, 13:03
29 Jan 2025, 13:03
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In triangle ABC, AB = AC = 4.
Quantity A |
Quantity B |
BC |
5 |
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Re: In triangle ABC, AB = AC = 4.
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03 Mar 2025, 09:33
03 Mar 2025, 09:33
Expert Reply
In a triangle $\(\mathrm{ABC}, \mathrm{AB}=\mathrm{AC}=4\)$; we need to compare the length of BC with 5
We know that third side in a triangle is greater than the subtraction and is less than the addition of the two other sides.
So, for triangle $\(A B C\)$, we get $\(A B-A C<B C<A B+A C\)$ i.e. $\(4-4=0<B C<4+4=8\)$ which means BC can take any value between 0 and 8 .
Hence the value of $\(B C\)$ cannot be uniquely compared with 5 , so the answer is (D).
We know that third side in a triangle is greater than the subtraction and is less than the addition of the two other sides.
So, for triangle $\(A B C\)$, we get $\(A B-A C<B C<A B+A C\)$ i.e. $\(4-4=0<B C<4+4=8\)$ which means BC can take any value between 0 and 8 .
Hence the value of $\(B C\)$ cannot be uniquely compared with 5 , so the answer is (D).
gmatclubot
Re: In triangle ABC, AB = AC = 4. [#permalink]
03 Mar 2025, 09:33
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