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An acute triangle has side lengths 21 cm, x cm, and 2x cm. If 21 is one of the shorter sides of the triangle, what is the greatest possible length of the longest side, rounded to the nearest tenth?
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An acute triangle has side lengths 21 cm, x cm, and 2x cm. If 21 is one of the shorter sides of the triangle, what is the greatest possible length of the longest side, rounded to the nearest tenth?

User Harsh Poddar
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2 Answers

4 votes

Answer: C. 42.0 cm

Step-by-step explanation: I just took the test

User CharlyDelta
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5 votes
The triangle inequality requires the sum of the two short sides be at least as long as the longest side.
.. 21 +x ≥ 2x
.. 21 ≥ x
.. 42 ≥ 2x

The largest possible length of the longest side is 42 cm.
User KChen
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6.3k points
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