Answer:
The answer would be D. 12, 15, and 25.
Step-by-step explanation:
The first two sides, sum must be larger than the third side.
so 12+15=27 which is larger than 25
The correct answer for the side lengths of a triangle is D. 12, 15, 25.
The sides of a triangle rule asserts that the sum of the lengths of any two sides of a traingle has to be greater than the length of the third side.
If a,b,c are the sides of the triangle then,
a + b > c
Now in the given question let us suppose a,b,c be the length of the sides
A. 2, 3, 6
Here, a = 2, b= 3 and c = 6
Applying sides of a triangle rule,
a + b > c
⇒2 + 3= 5 which is less than 6
Here, a + b <c
Therefore , these are not the lengths of triangle.
B. 9, 10, 19
Here, a = 9, b= 10 and c = 19
Applying sides of a triangle rule,
a + b > c
⇒9 + 9= 18 which is less than 19
Here, a + b <c
Therefore , these are not the lengths of triangle.
C. 5, 8, 15
Here, a = 5, b= 8 and c = 15
Applying sides of a triangle rule,
a + b > c
⇒5 + 8 = 12 which is less than 15
Here, a + b <c
Therefore , these are not the lengths of triangle.
D. 12, 15, 25
Here, a = 12, b= 15 and c = 25
Applying sides of a triangle rule,
a + b > c
⇒12 + 15 = 27 which is greater than 25
Here, a + b > c
Therefore , these are the lengths of triangle.
Hence,The correct answer for the side lengths of a triangle is D. 12, 15, 25.
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