The length of two sides of triangle are 8cm and 11cm.Between what to measure should the length of the third side fall?
Answers
according to the inequality theorem , the sum of two sides of a triangle must be greater than the third side.
19>x(third side say x)
the difference between two sides of a triangle must be<the third side.
3<x
x is greater than 3 and less than19.
x€(3,19)
The length of the third side falls between 3 cm and 19 cm.
Step-by-step explanation:
Given:
The length of two sides of triangle are 8cm and 11cm.
To Find:
The length of the third side falls between.
Solution:
As we know,the sum of the length of any two sides is always greater than the third side.
As given-the length of two sides of triangle are 8cm and 11cm.
Therefore,
The third side length should be less than the sum of other two sides
8 + 11 = 19 cm.
Also the third side is cannot not be less than the difference of the two
sides, 11 – 8 = 3 cm
Thus, the length of the third side falls between 3 cm and 19 cm.
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