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anonymous
 one year ago
The sides of a triangle have lengths of x, x + 4, and 20. If the longest side is 20, which of the following values of x would make the triangle acute?
A.
8
B.
10
C.
12
D.
14
anonymous
 one year ago
The sides of a triangle have lengths of x, x + 4, and 20. If the longest side is 20, which of the following values of x would make the triangle acute? A. 8 B. 10 C. 12 D. 14

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campbell_st
 one year ago
Best ResponseYou've already chosen the best response.0you can use pythagoras' theorem in this question you need \[a^2 + b^2 > c^2\] so substituting your sides you have \[x^2 + (x +4)^2 > 20^2\] so use this to find the value of x

campbell_st
 one year ago
Best ResponseYou've already chosen the best response.0using the same rule for pythagoras, just check, which answer well give a value larger that 20^2 e.g. using the 1st choice is \[8^2 + 12^2 > 20^2~~~~or~~~~ 64 + 144 > 400\]
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