How many triangles exist with the given side lengths?

12 in, 15 in, 18 in

ANo triangle exists with the given side lengths.
BExactly one unique triangle exists with the given side lengths.
CMore than one triangle exists with the given side lengths.

Verified Answer :

zeshan

According
to triangle inequality theorem, “The sum of the length of two sides of a
triangle should be greater than the third side”. In order to verify the
mentioned theorem, some calculations are performed below.

 12 + 15 > 18

15 + 18
> 12

12 + 18
> 15

As the
triangle inequality theorem satisfied, so there is only one triangle possible
with the given sides length. No more than one triangle is possible, because the
angles are not given, and the sides length are fixed.

So option
“B” is correct. 

Answer:

it is b

Step-by-step explanation: