Question

If a,b and c are the length of three sides of triangle,then which of the following is true?

a) a+b<c
b) a-b<c
c)a+b=c​

Answer 1

Answer:

Step-by-step explanation:

since in a triangle the sum of the lengths of any two sides is strictly greater than the length of the remaining side, then a < b + c , then

a - b < c. thus b) is the correct answer.

Answer 2

If a, b and c are the length of three sides of triangle, then a - b < c.

Correct option: a) a - b < c

Step-by-step explanation:

• We must know that, the sum of two sides of a triangle is greater than the other. This is the condition for which three sides form a triangle.

• Given, the three sides are a, b and c. So, we must have b + c > a, that is c > a - b or, a - b < c.

• For example, the three lines of length 5 cm, 11 cm and 13 cm will form a triangle because 13 cm - 5 cm = 8 cm < 11 cm.