To find the value of x, we need to use the triangle inequality theorem, which states that the sum of any two sides of a triangle must be greater than the third side.
In this case, we can write the inequality as:
16 + 72 > x (the sum of the two shorter sides must be greater than the longest side)
Simplifying the inequality, we get:
88 > x
Therefore, the largest possible value of x is 88. However, we don't know the exact length of x, so we need to find the smallest possible value of x by taking into account the given side lengths.
We know that x must be shorter than the sum of the two other sides, so:
x < 16 + 72
x < 88
Since x cannot be greater than 88 or less than 0 (since lengths cannot be negative), we can round to the nearest tenth and say that:
x ≈ 88
Therefore, the value of x to the nearest tenth is 88.
Find the value of x to the nearest tenth.
Triangle 16, 72, x
X=?
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