Based on the Triangle Inequality Theorem, a triangle can be formed with sides a, b, and c if the sum of the lengths of any two sides is greater than the length of the third side.
Therefore, a triangle can be formed with sides a, b, and c.
Using the Triangle Inequality Theorem (see picture above), determine which three sides form a triangle.
a+b>c
a+c>b
b+c>a
5 answers
what do all of them =
The Triangle Inequality Theorem states that for any triangle with sides a, b, and c:
a + b > c
a + c > b
b + c > a
If all three inequalities are satisfied, then the three sides can form a triangle.
a + b > c
a + c > b
b + c > a
If all three inequalities are satisfied, then the three sides can form a triangle.
NUMBERS!!
If a = 3, b = 4, and c = 5, let's check if they can form a triangle using the Triangle Inequality Theorem:
a + b > c
3 + 4 > 5
7 > 5 - true
a + c > b
3 + 5 > 4
8 > 4 - true
b + c > a
4 + 5 > 3
9 > 3 - true
Since all three inequalities are true, the sides with lengths 3, 4, and 5 can form a triangle.
a + b > c
3 + 4 > 5
7 > 5 - true
a + c > b
3 + 5 > 4
8 > 4 - true
b + c > a
4 + 5 > 3
9 > 3 - true
Since all three inequalities are true, the sides with lengths 3, 4, and 5 can form a triangle.