x, y, z are integer that are side of an obtuse-angled triangle. If xy = 4, find z.
D. More than one possible value of z exists
Answer: Choice B
xy = 4
xy could be 2 x 2 or 4 x 1
222 These are the possible triangles
22x will be a triangle if x is 1, 2 or 3 (trial and error)
44x is a triangle only if x is 1.
Ø 221 is acute. 12 + 22> 22
Ø 222 is equilateral. So acute.
Ø 223 is obtuse. 22 + 22< 32
Ø 144 is acute. 12 + 42> 42
Only triangle 223 is obtuse. Hence, the third side has to be 3.
Answer Choice (B)
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