Answer:
The greatest possible whole-number length of unknown side = 9 inches.
Explanation:
Complete Question
Two sides of an acute triangle measure 5 inches and 8 inches. The longest side is unknown. What is the greatest possible whole-number length of the unknown side?
Solution
An extension of the Pythagoras' theorem explains that 'If c is the longest side of an acute triangle and a & b are other two sides of the acute triangle, the three sides are related through the expression
c² < a² + b²
c² < 5² + 8²
c² < 25 + 64
c² < 89
c < 9.43
Hence, the greatest possible whole-number length of unknown side = 9 inches.
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