Answer:
Obtuse triangle sets
B. 5, 13, 19
C. 12, 14, 25
Step-by-step explanation:
The Pythagorean inequality for the sides of the triangle to be an obtuse:
, where a, b and c are the sides of the triangle.
The other Pythagorean inequalities are:
, for Acute triangle
, for Right triangle
Now let's check which set of the given sets satisfy the above inequality.
<u>Option A</u>
4, 5, 6
Here a = 4, b = 5 and c = 6
Which is not true.
Here , So this is Acute triangle
<u>Option B</u>
5, 13, 19
Here a = 5, b = 13 and c = 19
Which is true. This is Obtuse triangle
<u>Option C</u>
Here a = 12, b = 14 and c = 25
Which is true. This is obtuse triangle.
<u>Option D</u>
Here a = 21, b = 72 and c = 75
Which is not true for obtuse.
Here , for Right triangle
So this is Right triangle.