Answer: 9 inches
Step-by-step explanation:
Let x be the longest side of the acute triangle having other sides 5 inches and 8 inches,
Since, for the acute triangle,
[tex](\text{longest side})^2< \text{ sum of the square of the other sides}[/tex]
[tex]\implies x^2 < 5^2 + 8^2[/tex]
[tex]\implies x^2< 25 + 64[/tex]
[tex]\implies x^2 < 89[/tex]
[tex]\implies x < 9.43398113\approx 9.434[/tex]
Thus, the largest value of x ( whole number ) is 9.
Answer:
9 inches
Step-by-step explanation:
I answered this before and it was deleted. So here it is again.
