The greatest whole possible whole number length of the unknown side is 9 inches.
Let us have:
H = biggest side of the triangle
And let we get A and B as rest of the two sides.
Then we get:
If
[tex]A^2 + B^2 < C^2[/tex]
then the triangle is acute
Two sides of an acute triangle measure as 5 inches and 8 inches
The length of the longest side is unknown.
We have to find the length of the unknown side
WE know that the longest side of any triangle is a hypotenuse
For an acute triangle we know:
[tex]A^2 + B^2 < C^2[/tex]
Here in this sum,
a = 5 inches
b = 8 inches
c = ?
Substituting we get,
[tex]A^2 + B^2 < C^2\\\\5^2 + 8^2 < C^2\\\\25 + 64= C^2[/tex]
c < 9
Hence, The greatest whole possible whole number length of the unknown side is 9 inches.
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