A few days ago
Need help with suckey math.?
Does these numbers make either a right triangle, obtuse triangle or acute.
15,8,21
4,5,6
.03, .04, .06
(radicand)3, 2, 3
20,21, 28
30, 40, 50
I would do them myself but I don’t get how.
Please help?
Top 1 Answers
A few days ago
Favorite Answer
Let a be the longest side of the triangle, and b, c be the other two sides.
Work out s = b^2 + c^2 – a^2
If s = 0, the triangle is right-angled.
If s > 0, the triangle is acute.
If s < 0, the triangle is obtuse. This is derived from the cosine rule: a^2 = b^2 + c^2 - 2bc cos(A) where A is the angle opposite side a. Rearranging: cos(A) = (b^2 + c^2 - a^2) / 2bc. b and c are positive, and therefore the sign of b^2 + c^2 - a^2 gives the sign of cos(A). Angles over 90deg in a triangle have cos(A) < 0, angles under 90deg have cos(A) > 0, and for a right angle
cos(A) = 0.
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