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ICE Special Agent Exam Prep

Category - Math - Hard

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Two sides of a right angle triangle are 12 and 13. Which of the following could be length of the third side?I. 5II. 11III. √313

I only
II only
III only
I and III

Explanation

Answer D - The relationship between the three sides a² + b² = c²b² = c² -a² (Third side )² = 12² + 13² = 313
Also (Third side )² = 13² -12² =25
Hence the third side may be 5 or √313 i.e I and III

Key takeaway: A right triangle has one angle equal to 900 and its longest side is called the hypotenuse. The relationship between the three sides is expressed as a²+ b² = c²

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