Given the side lengths of 4, 4, and 5, can these three side lengths form a triangle?
TRUE or FALSE
if the sides, in order of increasing length are a,b,c then they form a triangle if
b-a < c < b+a
To determine if the given side lengths of 4, 4, and 5 can form a triangle, we need to check if the sum of the two shorter sides is greater than the longest side.
In this case, the two shorter sides are both 4 units long, and the longest side is 5 units long.
To check if the given side lengths form a triangle, we can use the triangle inequality theorem, which states that for any triangle, the sum of the lengths of any two sides must be greater than the length of the remaining side.
So, let's check if the sum of the two shorter sides (4 + 4 = 8) is greater than the longest side (5).
Since 8 is greater than 5, the given side lengths of 4, 4, and 5 can indeed form a triangle.
Therefore, the statement is TRUE.
yes
as long as each side is less than the sum of the other two
... a triangle can be formed