can we draw a tringle if two sides are greater
Answers
Answer:
no impossible
Step-by-step explanation:
please mark as brainliest
llloo
Answer:
yes
Step-by-step explanation:
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Triangle Inequality Theorem
The sum of the lengths of any two sides of a triangle is greater than the length of the third side.
In the figure, the following inequalities hold.
a+b>c
a+c>b
b+c>a
Example 1:
Check whether it is possible to have a triangle with the given side lengths.
7,9,13
Add any two sides and see if it is greater than the other side.
The sum of 7 and 9 is 16 and 16 is greater than 13 .
The sum of 9 and 13 is 21 and 21 is greater than 7 .
The sum of 7 and 13 is 20 and 20 is greater than 9 .
This set of side lengths satisfies the Triangle Inequality Theorem.
These lengths do form a triangle.
Example 2:
Check whether the given side lengths form a triangle.
4,8,15
Check whether the sides satisfy the Triangle Inequality Theorem.
Add any two sides and see if it is greater than the other side.
The sum of 4 and 8 is 12 and 12 is less than 15 .
This set of side lengths does not satisfy Triangle Inequality Theorem.
These lengths do not form a triangle.