Mathematics
Blueberry12
2016-04-09 04:18:06
Which best explains whether a triangle with side lengths 2 in, 5in, and 4 in is an acute triangle
ANSWERS
vanessa0905
2016-04-09 04:32:55

for an acute angled triangle a^2 < b^2 + c^2   where a is the longest side so here  we have:- 5^2  = 25 4^2 + 2^2 = 16 + 4 =  20 so 5^2 > 2^2 + 4^2   so this triangle is not acute.   It is obtuse. In summary   a^2 < b^2 + c^2  = acute angled a^2 = b^2 + c^2 = right angled a^2 > b^2 + c^2 = obtuse angled triangle.

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