Respuesta :
Answer:
17 inches
Step-by-step explanation:
An obtuse triangle is the triangle in which one of the side is the longest. It contains an obtuse angle and the longest side is the side that is opposite to the vertex of the obtuse angle.
Let the three sides of the obtuse triangle be a, b and c respectively with c as the longest side. Let a = 9 inches and b = 14 inches.
Now we know that for an obtuse triangle,
[tex]$c^2 > a^2 +b^2$[/tex]
[tex]$c^2 > (9)^2 +(14)^2$[/tex]
[tex]$c^2 > 81 +196$[/tex]
[tex]$c^2 > 277$[/tex]
c > 16.64
Therefore the smallest possible whole number is 17 inches.
It should be noted that the length of the unknown side will be 17 inches.
From the information given, we are informed that the sides of an obtuse triangle measure 9 inches and 14 inches.
Therefore, the third side will be:
c² = 9² + 14²
c² = 81 + 196
c² = 277
c = ✓277
c = 16.64
c = 17
In conclusion, the correct option is 17 inches.
Learn more about triangles on:
https://brainly.com/question/17335144
