Find the value of x to the nearest tenth.

Triangle 16, 72, x

X=?

1 answer

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.
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