What is the greatest possible whole-number length of unknown side ?

The greatest possible whole-number length of unknown side = 9 inches.

Step-by-step 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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these sign is used to tell weather the number is greater or less than the number   <   or >     but this sign means its equal =    

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