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Sonbull [250]
3 years ago
11

An acute triangle has side lengths 21 cm, X cm, and 2x cm. If 21 is one of the shorter side of the triangle, what is the greates

t possible length of the longest side, rounded to the nearest 10th?
Mathematics
2 answers:
tia_tia [17]3 years ago
4 0
The triangle inequality tells us that the sum of the two shorter sides of a triangle must be greater than the third side.

Here, 21 cm is one of the shorter sides, and x cm must be the length of the other shorter side.

So using the triangle inequality, 
21+x > 2x
or x<21 cm
To the nearest 0.1 cm, the greatest possible length of the longest side (2x) is 2*21-0.1 cm = 41.9 cm < 2x=42 cm.

IrinaVladis [17]3 years ago
4 0

Answer: 42

Step-by-step explanation:

C

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