Practice Quiz

SAT Math Practice Exam

Category - Mathematics - 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
  1. I only
  2. II only
  3. III only
  4. I and III
Explanation
Answer D - The relationship between the three sides a2 + b2 = c2 b2 = 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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