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Example Question #2 : Acute / Obtuse Triangles
Two sides of an isosceles triangle are 20 and 30. What is the difference of the largest and the smallest possible perimeters?
Possible Answers:
30
0
15
The answer cannot be determined
10
Correct answer:
10
Explanation:
The trick here is that we don't know which is the repeated side. Our possible triangles are therefore 20 + 20 + 30 = 70 or 30 + 30 + 20 = 80. The difference is therefore 80 – 70 or 10.
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