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Suppose two sides of a triangle have lengths 16 inches and 11 inches. What are the possible lengths x of the third side?
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3 votes
Suppose two sides of a triangle have lengths 16 inches and 11 inches. What are the possible lengths x of the third side?

User Eicksl
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1 Answer

4 votes
a^2 + b^2 = c^2
*assuming x is the hypotonus*
x^2 = 11^2 + 16^2
x^2 = 377
x = square root 377
x = 19.4 [3sf]

OR
*assuming x is not the hypotonus
c^2 - a^2 = b^2
16^2 - 11^2 = x^2
x^2 = 135
x = square root 135
x = 11.6 [3sf]
User Stephen Deken
by
8.2k points
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